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Finding the Fourth Proportional to 3,712.75, 5,564.20 and 3,097.66

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Solution

The fourth proportional to 3,712.75, 5,564.20 and 3,097.66 is: 4,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.75 : 5,564.20 = 3,097.66 : x
  2. Step 2: Convert to fraction form
    3,712.75/5,564.20 = 3,097.66/x
  3. Step 3: Cross multiply
    3,712.75x = 5,564.20 × 3,097.66
  4. Step 4: Simplify right side
    3,712.75x = 17,235,999.77
  5. Step 5: Solve for x
    x = 17,235,999.77/3,712.75
  6. Step 6: Final answer
    x = 4,642.38

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1.5x scale

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.