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Finding the Fourth Proportional to 5,024.78, 7,537.68 and 1,737.11

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Solution

The fourth proportional to 5,024.78, 7,537.68 and 1,737.11 is: 2,605.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.78 : 7,537.68 = 1,737.11 : x
  2. Step 2: Convert to fraction form
    5,024.78/7,537.68 = 1,737.11/x
  3. Step 3: Cross multiply
    5,024.78x = 7,537.68 × 1,737.11
  4. Step 4: Simplify right side
    5,024.78x = 13,093,741.62
  5. Step 5: Solve for x
    x = 13,093,741.62/5,024.78
  6. Step 6: Final answer
    x = 2,605.84

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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.