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Finding the Fourth Proportional to 4,154.59, 5,725.08 and 4,102.85

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Solution

The fourth proportional to 4,154.59, 5,725.08 and 4,102.85 is: 5,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,154.59 : 5,725.08 = 4,102.85 : x
  2. Step 2: Convert to fraction form
    4,154.59/5,725.08 = 4,102.85/x
  3. Step 3: Cross multiply
    4,154.59x = 5,725.08 × 4,102.85
  4. Step 4: Simplify right side
    4,154.59x = 23,489,158.79
  5. Step 5: Solve for x
    x = 23,489,158.79/4,154.59
  6. Step 6: Final answer
    x = 5,653.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.