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Finding the Fourth Proportional to 5,407.40, 8,111.10 and 4,313.90

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Solution

The fourth proportional to 5,407.40, 8,111.10 and 4,313.90 is: 6,470.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.40 : 8,111.10 = 4,313.90 : x
  2. Step 2: Convert to fraction form
    5,407.40/8,111.10 = 4,313.90/x
  3. Step 3: Cross multiply
    5,407.40x = 8,111.10 × 4,313.90
  4. Step 4: Simplify right side
    5,407.40x = 34,990,474.29
  5. Step 5: Solve for x
    x = 34,990,474.29/5,407.40
  6. Step 6: Final answer
    x = 6,470.85

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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.