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Finding the Fourth Proportional to 5,151.22, 7,726.95 and 1,862.74

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Solution

The fourth proportional to 5,151.22, 7,726.95 and 1,862.74 is: 2,794.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.22 : 7,726.95 = 1,862.74 : x
  2. Step 2: Convert to fraction form
    5,151.22/7,726.95 = 1,862.74/x
  3. Step 3: Cross multiply
    5,151.22x = 7,726.95 × 1,862.74
  4. Step 4: Simplify right side
    5,151.22x = 14,393,298.84
  5. Step 5: Solve for x
    x = 14,393,298.84/5,151.22
  6. Step 6: Final answer
    x = 2,794.15

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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.