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Finding the Fourth Proportional to 5,897.28, 8,842.72 and 2,929.20

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Solution

The fourth proportional to 5,897.28, 8,842.72 and 2,929.20 is: 4,392.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.28 : 8,842.72 = 2,929.20 : x
  2. Step 2: Convert to fraction form
    5,897.28/8,842.72 = 2,929.20/x
  3. Step 3: Cross multiply
    5,897.28x = 8,842.72 × 2,929.20
  4. Step 4: Simplify right side
    5,897.28x = 25,902,095.42
  5. Step 5: Solve for x
    x = 25,902,095.42/5,897.28
  6. Step 6: Final answer
    x = 4,392.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.