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Finding the Fourth Proportional to 4,232.07, 6,349.05 and 1,310.40

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Solution

The fourth proportional to 4,232.07, 6,349.05 and 1,310.40 is: 1,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.07 : 6,349.05 = 1,310.40 : x
  2. Step 2: Convert to fraction form
    4,232.07/6,349.05 = 1,310.40/x
  3. Step 3: Cross multiply
    4,232.07x = 6,349.05 × 1,310.40
  4. Step 4: Simplify right side
    4,232.07x = 8,319,795.12
  5. Step 5: Solve for x
    x = 8,319,795.12/4,232.07
  6. Step 6: Final answer
    x = 1,965.89

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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.