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Finding the Fourth Proportional to 3,870.52, 5,342.16 and 2,379.24

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Solution

The fourth proportional to 3,870.52, 5,342.16 and 2,379.24 is: 3,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.52 : 5,342.16 = 2,379.24 : x
  2. Step 2: Convert to fraction form
    3,870.52/5,342.16 = 2,379.24/x
  3. Step 3: Cross multiply
    3,870.52x = 5,342.16 × 2,379.24
  4. Step 4: Simplify right side
    3,870.52x = 12,710,280.76
  5. Step 5: Solve for x
    x = 12,710,280.76/3,870.52
  6. Step 6: Final answer
    x = 3,283.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.