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Finding the Fourth Proportional to 3,870.28, 5,805.33 and 948.57

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Solution

The fourth proportional to 3,870.28, 5,805.33 and 948.57 is: 1,422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.28 : 5,805.33 = 948.57 : x
  2. Step 2: Convert to fraction form
    3,870.28/5,805.33 = 948.57/x
  3. Step 3: Cross multiply
    3,870.28x = 5,805.33 × 948.57
  4. Step 4: Simplify right side
    3,870.28x = 5,506,761.88
  5. Step 5: Solve for x
    x = 5,506,761.88/3,870.28
  6. Step 6: Final answer
    x = 1,422.83

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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.