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Finding the Fourth Proportional to 3,647.76, 5,472.28 and 1,569.04

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Solution

The fourth proportional to 3,647.76, 5,472.28 and 1,569.04 is: 2,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.76 : 5,472.28 = 1,569.04 : x
  2. Step 2: Convert to fraction form
    3,647.76/5,472.28 = 1,569.04/x
  3. Step 3: Cross multiply
    3,647.76x = 5,472.28 × 1,569.04
  4. Step 4: Simplify right side
    3,647.76x = 8,586,226.21
  5. Step 5: Solve for x
    x = 8,586,226.21/3,647.76
  6. Step 6: Final answer
    x = 2,353.84

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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.