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Finding the Fourth Proportional to 5,438.40, 8,148.15 and 2,510.70

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Solution

The fourth proportional to 5,438.40, 8,148.15 and 2,510.70 is: 3,761.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.40 : 8,148.15 = 2,510.70 : x
  2. Step 2: Convert to fraction form
    5,438.40/8,148.15 = 2,510.70/x
  3. Step 3: Cross multiply
    5,438.40x = 8,148.15 × 2,510.70
  4. Step 4: Simplify right side
    5,438.40x = 20,457,560.21
  5. Step 5: Solve for x
    x = 20,457,560.21/5,438.40
  6. Step 6: Final answer
    x = 3,761.69

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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.