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Finding the Fourth Proportional to 5,024.46, 7,538.49 and 1,737.88

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Solution

The fourth proportional to 5,024.46, 7,538.49 and 1,737.88 is: 2,607.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.46 : 7,538.49 = 1,737.88 : x
  2. Step 2: Convert to fraction form
    5,024.46/7,538.49 = 1,737.88/x
  3. Step 3: Cross multiply
    5,024.46x = 7,538.49 × 1,737.88
  4. Step 4: Simplify right side
    5,024.46x = 13,100,991.00
  5. Step 5: Solve for x
    x = 13,100,991.00/5,024.46
  6. Step 6: Final answer
    x = 2,607.45

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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.