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Finding the Fourth Proportional to 3,152.52, 4,708.53 and 2,284.20

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Solution

The fourth proportional to 3,152.52, 4,708.53 and 2,284.20 is: 3,411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.52 : 4,708.53 = 2,284.20 : x
  2. Step 2: Convert to fraction form
    3,152.52/4,708.53 = 2,284.20/x
  3. Step 3: Cross multiply
    3,152.52x = 4,708.53 × 2,284.20
  4. Step 4: Simplify right side
    3,152.52x = 10,755,224.23
  5. Step 5: Solve for x
    x = 10,755,224.23/3,152.52
  6. Step 6: Final answer
    x = 3,411.63

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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.