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Finding the Fourth Proportional to 5,307.38, 7,327.50 and 3,419.90

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Solution

The fourth proportional to 5,307.38, 7,327.50 and 3,419.90 is: 4,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.38 : 7,327.50 = 3,419.90 : x
  2. Step 2: Convert to fraction form
    5,307.38/7,327.50 = 3,419.90/x
  3. Step 3: Cross multiply
    5,307.38x = 7,327.50 × 3,419.90
  4. Step 4: Simplify right side
    5,307.38x = 25,059,317.25
  5. Step 5: Solve for x
    x = 25,059,317.25/5,307.38
  6. Step 6: Final answer
    x = 4,721.60

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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.