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Finding the Fourth Proportional to 5,799.24, 8,001.70 and 3,442.16

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Solution

The fourth proportional to 5,799.24, 8,001.70 and 3,442.16 is: 4,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.24 : 8,001.70 = 3,442.16 : x
  2. Step 2: Convert to fraction form
    5,799.24/8,001.70 = 3,442.16/x
  3. Step 3: Cross multiply
    5,799.24x = 8,001.70 × 3,442.16
  4. Step 4: Simplify right side
    5,799.24x = 27,543,131.67
  5. Step 5: Solve for x
    x = 27,543,131.67/5,799.24
  6. Step 6: Final answer
    x = 4,749.44

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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.