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Finding the Fourth Proportional to 3,725.61, 5,588.31 and 1,505.40

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Solution

The fourth proportional to 3,725.61, 5,588.31 and 1,505.40 is: 2,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.61 : 5,588.31 = 1,505.40 : x
  2. Step 2: Convert to fraction form
    3,725.61/5,588.31 = 1,505.40/x
  3. Step 3: Cross multiply
    3,725.61x = 5,588.31 × 1,505.40
  4. Step 4: Simplify right side
    3,725.61x = 8,412,641.87
  5. Step 5: Solve for x
    x = 8,412,641.87/3,725.61
  6. Step 6: Final answer
    x = 2,258.06

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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.