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Finding the Fourth Proportional to 5,584.79, 7,707.02 and 3,226.93

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Solution

The fourth proportional to 5,584.79, 7,707.02 and 3,226.93 is: 4,453.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.79 : 7,707.02 = 3,226.93 : x
  2. Step 2: Convert to fraction form
    5,584.79/7,707.02 = 3,226.93/x
  3. Step 3: Cross multiply
    5,584.79x = 7,707.02 × 3,226.93
  4. Step 4: Simplify right side
    5,584.79x = 24,869,978.65
  5. Step 5: Solve for x
    x = 24,869,978.65/5,584.79
  6. Step 6: Final answer
    x = 4,453.16

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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.