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Finding the Fourth Proportional to 5,726.33, 8,589.65 and 1,830.74

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Solution

The fourth proportional to 5,726.33, 8,589.65 and 1,830.74 is: 2,746.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,726.33 : 8,589.65 = 1,830.74 : x
  2. Step 2: Convert to fraction form
    5,726.33/8,589.65 = 1,830.74/x
  3. Step 3: Cross multiply
    5,726.33x = 8,589.65 × 1,830.74
  4. Step 4: Simplify right side
    5,726.33x = 15,725,363.74
  5. Step 5: Solve for x
    x = 15,725,363.74/5,726.33
  6. Step 6: Final answer
    x = 2,746.15

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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.