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Finding the Fourth Proportional to 5,966.78, 8,950.24 and 1,584.68

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Solution

The fourth proportional to 5,966.78, 8,950.24 and 1,584.68 is: 2,377.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.78 : 8,950.24 = 1,584.68 : x
  2. Step 2: Convert to fraction form
    5,966.78/8,950.24 = 1,584.68/x
  3. Step 3: Cross multiply
    5,966.78x = 8,950.24 × 1,584.68
  4. Step 4: Simplify right side
    5,966.78x = 14,183,266.32
  5. Step 5: Solve for x
    x = 14,183,266.32/5,966.78
  6. Step 6: Final answer
    x = 2,377.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.