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Finding the Fourth Proportional to 3,292.06, 4,937.28 and 983.56

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Solution

The fourth proportional to 3,292.06, 4,937.28 and 983.56 is: 1,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.06 : 4,937.28 = 983.56 : x
  2. Step 2: Convert to fraction form
    3,292.06/4,937.28 = 983.56/x
  3. Step 3: Cross multiply
    3,292.06x = 4,937.28 × 983.56
  4. Step 4: Simplify right side
    3,292.06x = 4,856,111.12
  5. Step 5: Solve for x
    x = 4,856,111.12/3,292.06
  6. Step 6: Final answer
    x = 1,475.10

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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.