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Finding the Fourth Proportional to 5,024.72, 7,534.65 and 1,736.66

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Solution

The fourth proportional to 5,024.72, 7,534.65 and 1,736.66 is: 2,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,024.72 : 7,534.65 = 1,736.66 : x
  2. Step 2: Convert to fraction form
    5,024.72/7,534.65 = 1,736.66/x
  3. Step 3: Cross multiply
    5,024.72x = 7,534.65 × 1,736.66
  4. Step 4: Simplify right side
    5,024.72x = 13,085,125.27
  5. Step 5: Solve for x
    x = 13,085,125.27/5,024.72
  6. Step 6: Final answer
    x = 2,604.15

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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.