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Finding the Fourth Proportional to 5,149.32, 7,726.03 and 3,070.46

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Solution

The fourth proportional to 5,149.32, 7,726.03 and 3,070.46 is: 4,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.32 : 7,726.03 = 3,070.46 : x
  2. Step 2: Convert to fraction form
    5,149.32/7,726.03 = 3,070.46/x
  3. Step 3: Cross multiply
    5,149.32x = 7,726.03 × 3,070.46
  4. Step 4: Simplify right side
    5,149.32x = 23,722,451.53
  5. Step 5: Solve for x
    x = 23,722,451.53/5,149.32
  6. Step 6: Final answer
    x = 4,606.91

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