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Finding the Fourth Proportional to 4,852.40, 6,692.52 and 4,108.40

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Solution

The fourth proportional to 4,852.40, 6,692.52 and 4,108.40 is: 5,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.40 : 6,692.52 = 4,108.40 : x
  2. Step 2: Convert to fraction form
    4,852.40/6,692.52 = 4,108.40/x
  3. Step 3: Cross multiply
    4,852.40x = 6,692.52 × 4,108.40
  4. Step 4: Simplify right side
    4,852.40x = 27,495,549.17
  5. Step 5: Solve for x
    x = 27,495,549.17/4,852.40
  6. Step 6: Final answer
    x = 5,666.38

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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.