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Finding the Fourth Proportional to 5,407,692.24, 7,454,664.72 and 4,116,283.32

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Solution

The fourth proportional to 5,407,692.24, 7,454,664.72 and 4,116,283.32 is: 5,674,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407,692.24 : 7,454,664.72 = 4,116,283.32 : x
  2. Step 2: Convert to fraction form
    5,407,692.24/7,454,664.72 = 4,116,283.32/x
  3. Step 3: Cross multiply
    5,407,692.24x = 7,454,664.72 × 4,116,283.32
  4. Step 4: Simplify right side
    5,407,692.24x = 30,685,512,043,128.47
  5. Step 5: Solve for x
    x = 30,685,512,043,128.47/5,407,692.24
  6. Step 6: Final answer
    x = 5,674,419.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.