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Finding the Fourth Proportional to 5,148.64, 7,723.36 and 1,686.24

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Solution

The fourth proportional to 5,148.64, 7,723.36 and 1,686.24 is: 2,529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,148.64 : 7,723.36 = 1,686.24 : x
  2. Step 2: Convert to fraction form
    5,148.64/7,723.36 = 1,686.24/x
  3. Step 3: Cross multiply
    5,148.64x = 7,723.36 × 1,686.24
  4. Step 4: Simplify right side
    5,148.64x = 13,023,438.57
  5. Step 5: Solve for x
    x = 13,023,438.57/5,148.64
  6. Step 6: Final answer
    x = 2,529.49

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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.