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Finding the Fourth Proportional to 5,663.92, 7,823.56 and 4,311.31

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Solution

The fourth proportional to 5,663.92, 7,823.56 and 4,311.31 is: 5,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.92 : 7,823.56 = 4,311.31 : x
  2. Step 2: Convert to fraction form
    5,663.92/7,823.56 = 4,311.31/x
  3. Step 3: Cross multiply
    5,663.92x = 7,823.56 × 4,311.31
  4. Step 4: Simplify right side
    5,663.92x = 33,729,792.46
  5. Step 5: Solve for x
    x = 33,729,792.46/5,663.92
  6. Step 6: Final answer
    x = 5,955.20

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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.