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Finding the Fourth Proportional to 3,724.58, 5,587.14 and 1,259.66

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Solution

The fourth proportional to 3,724.58, 5,587.14 and 1,259.66 is: 1,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.58 : 5,587.14 = 1,259.66 : x
  2. Step 2: Convert to fraction form
    3,724.58/5,587.14 = 1,259.66/x
  3. Step 3: Cross multiply
    3,724.58x = 5,587.14 × 1,259.66
  4. Step 4: Simplify right side
    3,724.58x = 7,037,896.77
  5. Step 5: Solve for x
    x = 7,037,896.77/3,724.58
  6. Step 6: Final answer
    x = 1,889.58

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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.