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Finding the Fourth Proportional to 3,726.59, 5,590.22 and 1,261.58

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Solution

The fourth proportional to 3,726.59, 5,590.22 and 1,261.58 is: 1,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726.59 : 5,590.22 = 1,261.58 : x
  2. Step 2: Convert to fraction form
    3,726.59/5,590.22 = 1,261.58/x
  3. Step 3: Cross multiply
    3,726.59x = 5,590.22 × 1,261.58
  4. Step 4: Simplify right side
    3,726.59x = 7,052,475.49
  5. Step 5: Solve for x
    x = 7,052,475.49/3,726.59
  6. Step 6: Final answer
    x = 1,892.48

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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.