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Finding the Fourth Proportional to 5,708.34, 7,887.78 and 4,452.57

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Solution

The fourth proportional to 5,708.34, 7,887.78 and 4,452.57 is: 6,152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.34 : 7,887.78 = 4,452.57 : x
  2. Step 2: Convert to fraction form
    5,708.34/7,887.78 = 4,452.57/x
  3. Step 3: Cross multiply
    5,708.34x = 7,887.78 × 4,452.57
  4. Step 4: Simplify right side
    5,708.34x = 35,120,892.59
  5. Step 5: Solve for x
    x = 35,120,892.59/5,708.34
  6. Step 6: Final answer
    x = 6,152.56

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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.