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Finding the Fourth Proportional to 4,932.52, 6,802.50 and 3,532.84

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Solution

The fourth proportional to 4,932.52, 6,802.50 and 3,532.84 is: 4,872.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,932.52 : 6,802.50 = 3,532.84 : x
  2. Step 2: Convert to fraction form
    4,932.52/6,802.50 = 3,532.84/x
  3. Step 3: Cross multiply
    4,932.52x = 6,802.50 × 3,532.84
  4. Step 4: Simplify right side
    4,932.52x = 24,032,144.10
  5. Step 5: Solve for x
    x = 24,032,144.10/4,932.52
  6. Step 6: Final answer
    x = 4,872.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.