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Finding the Fourth Proportional to 3,727.47, 5,592.23 and 1,262.48

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Solution

The fourth proportional to 3,727.47, 5,592.23 and 1,262.48 is: 1,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.47 : 5,592.23 = 1,262.48 : x
  2. Step 2: Convert to fraction form
    3,727.47/5,592.23 = 1,262.48/x
  3. Step 3: Cross multiply
    3,727.47x = 5,592.23 × 1,262.48
  4. Step 4: Simplify right side
    3,727.47x = 7,060,074.74
  5. Step 5: Solve for x
    x = 7,060,074.74/3,727.47
  6. Step 6: Final answer
    x = 1,894.07

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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.