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Finding the Fourth Proportional to 5,691.74, 7,858.22 and 4,362.93

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Solution

The fourth proportional to 5,691.74, 7,858.22 and 4,362.93 is: 6,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.74 : 7,858.22 = 4,362.93 : x
  2. Step 2: Convert to fraction form
    5,691.74/7,858.22 = 4,362.93/x
  3. Step 3: Cross multiply
    5,691.74x = 7,858.22 × 4,362.93
  4. Step 4: Simplify right side
    5,691.74x = 34,284,841.97
  5. Step 5: Solve for x
    x = 34,284,841.97/5,691.74
  6. Step 6: Final answer
    x = 6,023.62

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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.