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Finding the Fourth Proportional to 5,411.49, 8,116.94 and 1,462.69

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Solution

The fourth proportional to 5,411.49, 8,116.94 and 1,462.69 is: 2,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.49 : 8,116.94 = 1,462.69 : x
  2. Step 2: Convert to fraction form
    5,411.49/8,116.94 = 1,462.69/x
  3. Step 3: Cross multiply
    5,411.49x = 8,116.94 × 1,462.69
  4. Step 4: Simplify right side
    5,411.49x = 11,872,587.76
  5. Step 5: Solve for x
    x = 11,872,587.76/5,411.49
  6. Step 6: Final answer
    x = 2,193.96

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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.