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Finding the Fourth Proportional to 6,557.28, 9,045.84 and 3,903.84

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Solution

The fourth proportional to 6,557.28, 9,045.84 and 3,903.84 is: 5,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.28 : 9,045.84 = 3,903.84 : x
  2. Step 2: Convert to fraction form
    6,557.28/9,045.84 = 3,903.84/x
  3. Step 3: Cross multiply
    6,557.28x = 9,045.84 × 3,903.84
  4. Step 4: Simplify right side
    6,557.28x = 35,313,512.03
  5. Step 5: Solve for x
    x = 35,313,512.03/6,557.28
  6. Step 6: Final answer
    x = 5,385.39

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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.