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Finding the Fourth Proportional to 5,661.80, 8,484.65 and 4,169.32

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Solution

The fourth proportional to 5,661.80, 8,484.65 and 4,169.32 is: 6,248.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.80 : 8,484.65 = 4,169.32 : x
  2. Step 2: Convert to fraction form
    5,661.80/8,484.65 = 4,169.32/x
  3. Step 3: Cross multiply
    5,661.80x = 8,484.65 × 4,169.32
  4. Step 4: Simplify right side
    5,661.80x = 35,375,242.24
  5. Step 5: Solve for x
    x = 35,375,242.24/5,661.80
  6. Step 6: Final answer
    x = 6,248.06

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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.