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Finding the Fourth Proportional to 5,642.46, 8,463.69 and 5,409.18

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Solution

The fourth proportional to 5,642.46, 8,463.69 and 5,409.18 is: 8,113.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.46 : 8,463.69 = 5,409.18 : x
  2. Step 2: Convert to fraction form
    5,642.46/8,463.69 = 5,409.18/x
  3. Step 3: Cross multiply
    5,642.46x = 8,463.69 × 5,409.18
  4. Step 4: Simplify right side
    5,642.46x = 45,781,622.67
  5. Step 5: Solve for x
    x = 45,781,622.67/5,642.46
  6. Step 6: Final answer
    x = 8,113.77

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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.