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Finding the Fourth Proportional to 4,382.88, 6,575.43 and 1,461.24

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Solution

The fourth proportional to 4,382.88, 6,575.43 and 1,461.24 is: 2,192.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.88 : 6,575.43 = 1,461.24 : x
  2. Step 2: Convert to fraction form
    4,382.88/6,575.43 = 1,461.24/x
  3. Step 3: Cross multiply
    4,382.88x = 6,575.43 × 1,461.24
  4. Step 4: Simplify right side
    4,382.88x = 9,608,281.33
  5. Step 5: Solve for x
    x = 9,608,281.33/4,382.88
  6. Step 6: Final answer
    x = 2,192.23

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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.