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Finding the Fourth Proportional to 5,267.64, 7,901.14 and 1,569.88

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Solution

The fourth proportional to 5,267.64, 7,901.14 and 1,569.88 is: 2,354.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.64 : 7,901.14 = 1,569.88 : x
  2. Step 2: Convert to fraction form
    5,267.64/7,901.14 = 1,569.88/x
  3. Step 3: Cross multiply
    5,267.64x = 7,901.14 × 1,569.88
  4. Step 4: Simplify right side
    5,267.64x = 12,403,841.66
  5. Step 5: Solve for x
    x = 12,403,841.66/5,267.64
  6. Step 6: Final answer
    x = 2,354.72

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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.