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Finding the Fourth Proportional to 3,728.16, 5,591.63 and 1,262.93

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Solution

The fourth proportional to 3,728.16, 5,591.63 and 1,262.93 is: 1,894.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.16 : 5,591.63 = 1,262.93 : x
  2. Step 2: Convert to fraction form
    3,728.16/5,591.63 = 1,262.93/x
  3. Step 3: Cross multiply
    3,728.16x = 5,591.63 × 1,262.93
  4. Step 4: Simplify right side
    3,728.16x = 7,061,812.48
  5. Step 5: Solve for x
    x = 7,061,812.48/3,728.16
  6. Step 6: Final answer
    x = 1,894.18

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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.