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Finding the Fourth Proportional to 5,614.86, 8,422.62 and 2,328.20

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Solution

The fourth proportional to 5,614.86, 8,422.62 and 2,328.20 is: 3,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.86 : 8,422.62 = 2,328.20 : x
  2. Step 2: Convert to fraction form
    5,614.86/8,422.62 = 2,328.20/x
  3. Step 3: Cross multiply
    5,614.86x = 8,422.62 × 2,328.20
  4. Step 4: Simplify right side
    5,614.86x = 19,609,543.88
  5. Step 5: Solve for x
    x = 19,609,543.88/5,614.86
  6. Step 6: Final answer
    x = 3,492.44

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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.