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Finding the Fourth Proportional to 4,584.40, 6,876.60 and 4,507.60

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Solution

The fourth proportional to 4,584.40, 6,876.60 and 4,507.60 is: 6,761.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.40 : 6,876.60 = 4,507.60 : x
  2. Step 2: Convert to fraction form
    4,584.40/6,876.60 = 4,507.60/x
  3. Step 3: Cross multiply
    4,584.40x = 6,876.60 × 4,507.60
  4. Step 4: Simplify right side
    4,584.40x = 30,996,962.16
  5. Step 5: Solve for x
    x = 30,996,962.16/4,584.40
  6. Step 6: Final answer
    x = 6,761.40

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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.