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Finding the Fourth Proportional to 5,002.57, 7,503.95 and 1,539.82

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Solution

The fourth proportional to 5,002.57, 7,503.95 and 1,539.82 is: 2,309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.57 : 7,503.95 = 1,539.82 : x
  2. Step 2: Convert to fraction form
    5,002.57/7,503.95 = 1,539.82/x
  3. Step 3: Cross multiply
    5,002.57x = 7,503.95 × 1,539.82
  4. Step 4: Simplify right side
    5,002.57x = 11,554,732.29
  5. Step 5: Solve for x
    x = 11,554,732.29/5,002.57
  6. Step 6: Final answer
    x = 2,309.76

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Why These Related Problems?

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