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Finding the Fourth Proportional to 5,582.97, 7,699.48 and 4,170.08

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Solution

The fourth proportional to 5,582.97, 7,699.48 and 4,170.08 is: 5,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.97 : 7,699.48 = 4,170.08 : x
  2. Step 2: Convert to fraction form
    5,582.97/7,699.48 = 4,170.08/x
  3. Step 3: Cross multiply
    5,582.97x = 7,699.48 × 4,170.08
  4. Step 4: Simplify right side
    5,582.97x = 32,107,456.38
  5. Step 5: Solve for x
    x = 32,107,456.38/5,582.97
  6. Step 6: Final answer
    x = 5,750.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.