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Finding the Fourth Proportional to 4,957.90, 7,435.38 and 3,567.03

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Solution

The fourth proportional to 4,957.90, 7,435.38 and 3,567.03 is: 5,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,957.90 : 7,435.38 = 3,567.03 : x
  2. Step 2: Convert to fraction form
    4,957.90/7,435.38 = 3,567.03/x
  3. Step 3: Cross multiply
    4,957.90x = 7,435.38 × 3,567.03
  4. Step 4: Simplify right side
    4,957.90x = 26,522,223.52
  5. Step 5: Solve for x
    x = 26,522,223.52/4,957.90
  6. Step 6: Final answer
    x = 5,349.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.