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Finding the Fourth Proportional to 5,659.32, 8,440.98 and 4,923.12

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Solution

The fourth proportional to 5,659.32, 8,440.98 and 4,923.12 is: 7,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.32 : 8,440.98 = 4,923.12 : x
  2. Step 2: Convert to fraction form
    5,659.32/8,440.98 = 4,923.12/x
  3. Step 3: Cross multiply
    5,659.32x = 8,440.98 × 4,923.12
  4. Step 4: Simplify right side
    5,659.32x = 41,555,957.46
  5. Step 5: Solve for x
    x = 41,555,957.46/5,659.32
  6. Step 6: Final answer
    x = 7,342.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.