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Finding the Fourth Proportional to 5,584.65, 7,708.20 and 3,228.15

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Solution

The fourth proportional to 5,584.65, 7,708.20 and 3,228.15 is: 4,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.65 : 7,708.20 = 3,228.15 : x
  2. Step 2: Convert to fraction form
    5,584.65/7,708.20 = 3,228.15/x
  3. Step 3: Cross multiply
    5,584.65x = 7,708.20 × 3,228.15
  4. Step 4: Simplify right side
    5,584.65x = 24,883,225.83
  5. Step 5: Solve for x
    x = 24,883,225.83/5,584.65
  6. Step 6: Final answer
    x = 4,455.65

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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.