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Finding the Fourth Proportional to 5,614.25, 8,421.38 and 1,510.25

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Solution

The fourth proportional to 5,614.25, 8,421.38 and 1,510.25 is: 2,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.25 : 8,421.38 = 1,510.25 : x
  2. Step 2: Convert to fraction form
    5,614.25/8,421.38 = 1,510.25/x
  3. Step 3: Cross multiply
    5,614.25x = 8,421.38 × 1,510.25
  4. Step 4: Simplify right side
    5,614.25x = 12,718,389.15
  5. Step 5: Solve for x
    x = 12,718,389.15/5,614.25
  6. Step 6: Final answer
    x = 2,265.38

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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.