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Finding the Fourth Proportional to 5,785.65, 7,976.73 and 4,722.32

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Solution

The fourth proportional to 5,785.65, 7,976.73 and 4,722.32 is: 6,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.65 : 7,976.73 = 4,722.32 : x
  2. Step 2: Convert to fraction form
    5,785.65/7,976.73 = 4,722.32/x
  3. Step 3: Cross multiply
    5,785.65x = 7,976.73 × 4,722.32
  4. Step 4: Simplify right side
    5,785.65x = 37,668,671.61
  5. Step 5: Solve for x
    x = 37,668,671.61/5,785.65
  6. Step 6: Final answer
    x = 6,510.71

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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.