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Finding the Fourth Proportional to 5,613.66, 8,420.72 and 2,103.30

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Solution

The fourth proportional to 5,613.66, 8,420.72 and 2,103.30 is: 3,155.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.66 : 8,420.72 = 2,103.30 : x
  2. Step 2: Convert to fraction form
    5,613.66/8,420.72 = 2,103.30/x
  3. Step 3: Cross multiply
    5,613.66x = 8,420.72 × 2,103.30
  4. Step 4: Simplify right side
    5,613.66x = 17,711,289.86
  5. Step 5: Solve for x
    x = 17,711,289.86/5,613.66
  6. Step 6: Final answer
    x = 3,155.03

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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.