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Finding the Fourth Proportional to 5,263.52, 7,849.53 and 5,192.90

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Solution

The fourth proportional to 5,263.52, 7,849.53 and 5,192.90 is: 7,744.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.52 : 7,849.53 = 5,192.90 : x
  2. Step 2: Convert to fraction form
    5,263.52/7,849.53 = 5,192.90/x
  3. Step 3: Cross multiply
    5,263.52x = 7,849.53 × 5,192.90
  4. Step 4: Simplify right side
    5,263.52x = 40,761,824.34
  5. Step 5: Solve for x
    x = 40,761,824.34/5,263.52
  6. Step 6: Final answer
    x = 7,744.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.