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Finding the Fourth Proportional to 4,321.84, 6,482.92 and 2,472.11

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Solution

The fourth proportional to 4,321.84, 6,482.92 and 2,472.11 is: 3,708.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.84 : 6,482.92 = 2,472.11 : x
  2. Step 2: Convert to fraction form
    4,321.84/6,482.92 = 2,472.11/x
  3. Step 3: Cross multiply
    4,321.84x = 6,482.92 × 2,472.11
  4. Step 4: Simplify right side
    4,321.84x = 16,026,491.36
  5. Step 5: Solve for x
    x = 16,026,491.36/4,321.84
  6. Step 6: Final answer
    x = 3,708.26

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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.