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Finding the Fourth Proportional to 4,659.14, 6,988.72 and 4,374.02

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Solution

The fourth proportional to 4,659.14, 6,988.72 and 4,374.02 is: 6,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.14 : 6,988.72 = 4,374.02 : x
  2. Step 2: Convert to fraction form
    4,659.14/6,988.72 = 4,374.02/x
  3. Step 3: Cross multiply
    4,659.14x = 6,988.72 × 4,374.02
  4. Step 4: Simplify right side
    4,659.14x = 30,568,801.05
  5. Step 5: Solve for x
    x = 30,568,801.05/4,659.14
  6. Step 6: Final answer
    x = 6,561.04

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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.