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Finding the Fourth Proportional to 4,382.52, 6,052.80 and 2,897.18

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Solution

The fourth proportional to 4,382.52, 6,052.80 and 2,897.18 is: 4,001.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,382.52 : 6,052.80 = 2,897.18 : x
  2. Step 2: Convert to fraction form
    4,382.52/6,052.80 = 2,897.18/x
  3. Step 3: Cross multiply
    4,382.52x = 6,052.80 × 2,897.18
  4. Step 4: Simplify right side
    4,382.52x = 17,536,080.30
  5. Step 5: Solve for x
    x = 17,536,080.30/4,382.52
  6. Step 6: Final answer
    x = 4,001.37

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Why These Related Problems?

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