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Finding the Fourth Proportional to 5,340.13, 8,019.20 and 4,461.73

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Solution

The fourth proportional to 5,340.13, 8,019.20 and 4,461.73 is: 6,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.13 : 8,019.20 = 4,461.73 : x
  2. Step 2: Convert to fraction form
    5,340.13/8,019.20 = 4,461.73/x
  3. Step 3: Cross multiply
    5,340.13x = 8,019.20 × 4,461.73
  4. Step 4: Simplify right side
    5,340.13x = 35,779,505.22
  5. Step 5: Solve for x
    x = 35,779,505.22/5,340.13
  6. Step 6: Final answer
    x = 6,700.12

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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.