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Finding the Fourth Proportional to 5,614.19, 8,421.25 and 1,665.46

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Solution

The fourth proportional to 5,614.19, 8,421.25 and 1,665.46 is: 2,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.19 : 8,421.25 = 1,665.46 : x
  2. Step 2: Convert to fraction form
    5,614.19/8,421.25 = 1,665.46/x
  3. Step 3: Cross multiply
    5,614.19x = 8,421.25 × 1,665.46
  4. Step 4: Simplify right side
    5,614.19x = 14,025,255.03
  5. Step 5: Solve for x
    x = 14,025,255.03/5,614.19
  6. Step 6: Final answer
    x = 2,498.18

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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.