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Finding the Fourth Proportional to 4,231.60, 6,348 and 1,310.14

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Solution

The fourth proportional to 4,231.60, 6,348 and 1,310.14 is: 1,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.60 : 6,348 = 1,310.14 : x
  2. Step 2: Convert to fraction form
    4,231.60/6,348 = 1,310.14/x
  3. Step 3: Cross multiply
    4,231.60x = 6,348 × 1,310.14
  4. Step 4: Simplify right side
    4,231.60x = 8,316,768.72
  5. Step 5: Solve for x
    x = 8,316,768.72/4,231.60
  6. Step 6: Final answer
    x = 1,965.40

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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.