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Finding the Fourth Proportional to 4,962.60, 7,433.10 and 4,314.60

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Solution

The fourth proportional to 4,962.60, 7,433.10 and 4,314.60 is: 6,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962.60 : 7,433.10 = 4,314.60 : x
  2. Step 2: Convert to fraction form
    4,962.60/7,433.10 = 4,314.60/x
  3. Step 3: Cross multiply
    4,962.60x = 7,433.10 × 4,314.60
  4. Step 4: Simplify right side
    4,962.60x = 32,070,853.26
  5. Step 5: Solve for x
    x = 32,070,853.26/4,962.60
  6. Step 6: Final answer
    x = 6,462.51

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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.