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Finding the Fourth Proportional to 5,615.66, 8,423.72 and 2,105.30

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Solution

The fourth proportional to 5,615.66, 8,423.72 and 2,105.30 is: 3,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.66 : 8,423.72 = 2,105.30 : x
  2. Step 2: Convert to fraction form
    5,615.66/8,423.72 = 2,105.30/x
  3. Step 3: Cross multiply
    5,615.66x = 8,423.72 × 2,105.30
  4. Step 4: Simplify right side
    5,615.66x = 17,734,457.72
  5. Step 5: Solve for x
    x = 17,734,457.72/5,615.66
  6. Step 6: Final answer
    x = 3,158.04

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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.