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Finding the Fourth Proportional to 5,610.29, 7,742.16 and 3,092.41

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Solution

The fourth proportional to 5,610.29, 7,742.16 and 3,092.41 is: 4,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.29 : 7,742.16 = 3,092.41 : x
  2. Step 2: Convert to fraction form
    5,610.29/7,742.16 = 3,092.41/x
  3. Step 3: Cross multiply
    5,610.29x = 7,742.16 × 3,092.41
  4. Step 4: Simplify right side
    5,610.29x = 23,941,894.29
  5. Step 5: Solve for x
    x = 23,941,894.29/5,610.29
  6. Step 6: Final answer
    x = 4,267.50

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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.