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Finding the Fourth Proportional to 5,612.65, 7,743.57 and 3,624.55

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Solution

The fourth proportional to 5,612.65, 7,743.57 and 3,624.55 is: 5,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.65 : 7,743.57 = 3,624.55 : x
  2. Step 2: Convert to fraction form
    5,612.65/7,743.57 = 3,624.55/x
  3. Step 3: Cross multiply
    5,612.65x = 7,743.57 × 3,624.55
  4. Step 4: Simplify right side
    5,612.65x = 28,066,917.93
  5. Step 5: Solve for x
    x = 28,066,917.93/5,612.65
  6. Step 6: Final answer
    x = 5,000.66

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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.