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Finding the Fourth Proportional to 3,513.60, 5,264.64 and 1,562.88

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Solution

The fourth proportional to 3,513.60, 5,264.64 and 1,562.88 is: 2,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.60 : 5,264.64 = 1,562.88 : x
  2. Step 2: Convert to fraction form
    3,513.60/5,264.64 = 1,562.88/x
  3. Step 3: Cross multiply
    3,513.60x = 5,264.64 × 1,562.88
  4. Step 4: Simplify right side
    3,513.60x = 8,228,000.56
  5. Step 5: Solve for x
    x = 8,228,000.56/3,513.60
  6. Step 6: Final answer
    x = 2,341.76

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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.