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Finding the Fourth Proportional to 5,708.74, 7,883.45 and 5,398.11

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Solution

The fourth proportional to 5,708.74, 7,883.45 and 5,398.11 is: 7,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.74 : 7,883.45 = 5,398.11 : x
  2. Step 2: Convert to fraction form
    5,708.74/7,883.45 = 5,398.11/x
  3. Step 3: Cross multiply
    5,708.74x = 7,883.45 × 5,398.11
  4. Step 4: Simplify right side
    5,708.74x = 42,555,730.28
  5. Step 5: Solve for x
    x = 42,555,730.28/5,708.74
  6. Step 6: Final answer
    x = 7,454.49

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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.