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Finding the Fourth Proportional to 5,854.52, 8,077.74 and 3,496.88

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Solution

The fourth proportional to 5,854.52, 8,077.74 and 3,496.88 is: 4,824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.52 : 8,077.74 = 3,496.88 : x
  2. Step 2: Convert to fraction form
    5,854.52/8,077.74 = 3,496.88/x
  3. Step 3: Cross multiply
    5,854.52x = 8,077.74 × 3,496.88
  4. Step 4: Simplify right side
    5,854.52x = 28,246,887.45
  5. Step 5: Solve for x
    x = 28,246,887.45/5,854.52
  6. Step 6: Final answer
    x = 4,824.80

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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.