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Finding the Fourth Proportional to 3,292.02, 4,937.76 and 983.52

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Solution

The fourth proportional to 3,292.02, 4,937.76 and 983.52 is: 1,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.02 : 4,937.76 = 983.52 : x
  2. Step 2: Convert to fraction form
    3,292.02/4,937.76 = 983.52/x
  3. Step 3: Cross multiply
    3,292.02x = 4,937.76 × 983.52
  4. Step 4: Simplify right side
    3,292.02x = 4,856,385.72
  5. Step 5: Solve for x
    x = 4,856,385.72/3,292.02
  6. Step 6: Final answer
    x = 1,475.20

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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.