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Finding the Fourth Proportional to 5,707.74, 7,882.07 and 5,397.11

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Solution

The fourth proportional to 5,707.74, 7,882.07 and 5,397.11 is: 7,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,707.74 : 7,882.07 = 5,397.11 : x
  2. Step 2: Convert to fraction form
    5,707.74/7,882.07 = 5,397.11/x
  3. Step 3: Cross multiply
    5,707.74x = 7,882.07 × 5,397.11
  4. Step 4: Simplify right side
    5,707.74x = 42,540,332.42
  5. Step 5: Solve for x
    x = 42,540,332.42/5,707.74
  6. Step 6: Final answer
    x = 7,453.10

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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.