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Finding the Fourth Proportional to 5,024.97, 7,536.85 and 1,737.79

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Solution

The fourth proportional to 5,024.97, 7,536.85 and 1,737.79 is: 2,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.97 : 7,536.85 = 1,737.79 : x
  2. Step 2: Convert to fraction form
    5,024.97/7,536.85 = 1,737.79/x
  3. Step 3: Cross multiply
    5,024.97x = 7,536.85 × 1,737.79
  4. Step 4: Simplify right side
    5,024.97x = 13,097,439.37
  5. Step 5: Solve for x
    x = 13,097,439.37/5,024.97
  6. Step 6: Final answer
    x = 2,606.47

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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.