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Finding the Fourth Proportional to 5,151.57, 7,726.44 and 1,863.78

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Solution

The fourth proportional to 5,151.57, 7,726.44 and 1,863.78 is: 2,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.57 : 7,726.44 = 1,863.78 : x
  2. Step 2: Convert to fraction form
    5,151.57/7,726.44 = 1,863.78/x
  3. Step 3: Cross multiply
    5,151.57x = 7,726.44 × 1,863.78
  4. Step 4: Simplify right side
    5,151.57x = 14,400,384.34
  5. Step 5: Solve for x
    x = 14,400,384.34/5,151.57
  6. Step 6: Final answer
    x = 2,795.34

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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.