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Finding the Fourth Proportional to 4,622.60, 6,937.42 and 3,709.16

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Solution

The fourth proportional to 4,622.60, 6,937.42 and 3,709.16 is: 5,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,622.60 : 6,937.42 = 3,709.16 : x
  2. Step 2: Convert to fraction form
    4,622.60/6,937.42 = 3,709.16/x
  3. Step 3: Cross multiply
    4,622.60x = 6,937.42 × 3,709.16
  4. Step 4: Simplify right side
    4,622.60x = 25,732,000.77
  5. Step 5: Solve for x
    x = 25,732,000.77/4,622.60
  6. Step 6: Final answer
    x = 5,566.56

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