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Finding the Fourth Proportional to 5,349.90, 7,385.58 and 3,672

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Solution

The fourth proportional to 5,349.90, 7,385.58 and 3,672 is: 5,069.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.90 : 7,385.58 = 3,672 : x
  2. Step 2: Convert to fraction form
    5,349.90/7,385.58 = 3,672/x
  3. Step 3: Cross multiply
    5,349.90x = 7,385.58 × 3,672
  4. Step 4: Simplify right side
    5,349.90x = 27,119,849.76
  5. Step 5: Solve for x
    x = 27,119,849.76/5,349.90
  6. Step 6: Final answer
    x = 5,069.23

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