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Finding the Fourth Proportional to 4,376.75, 6,565.13 and 1,298.75

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Solution

The fourth proportional to 4,376.75, 6,565.13 and 1,298.75 is: 1,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,376.75 : 6,565.13 = 1,298.75 : x
  2. Step 2: Convert to fraction form
    4,376.75/6,565.13 = 1,298.75/x
  3. Step 3: Cross multiply
    4,376.75x = 6,565.13 × 1,298.75
  4. Step 4: Simplify right side
    4,376.75x = 8,526,456.09
  5. Step 5: Solve for x
    x = 8,526,456.09/4,376.75
  6. Step 6: Final answer
    x = 1,948.13

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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.