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Finding the Fourth Proportional to 5,966.90, 8,949.67 and 1,584.71

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Solution

The fourth proportional to 5,966.90, 8,949.67 and 1,584.71 is: 2,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.90 : 8,949.67 = 1,584.71 : x
  2. Step 2: Convert to fraction form
    5,966.90/8,949.67 = 1,584.71/x
  3. Step 3: Cross multiply
    5,966.90x = 8,949.67 × 1,584.71
  4. Step 4: Simplify right side
    5,966.90x = 14,182,649.96
  5. Step 5: Solve for x
    x = 14,182,649.96/5,966.90
  6. Step 6: Final answer
    x = 2,376.89

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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.