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Finding the Fourth Proportional to 5,661.60, 8,493.31 and 1,966.02

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Solution

The fourth proportional to 5,661.60, 8,493.31 and 1,966.02 is: 2,949.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.60 : 8,493.31 = 1,966.02 : x
  2. Step 2: Convert to fraction form
    5,661.60/8,493.31 = 1,966.02/x
  3. Step 3: Cross multiply
    5,661.60x = 8,493.31 × 1,966.02
  4. Step 4: Simplify right side
    5,661.60x = 16,698,024.65
  5. Step 5: Solve for x
    x = 16,698,024.65/5,661.60
  6. Step 6: Final answer
    x = 2,949.35

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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.