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Finding the Fourth Proportional to 5,887.60, 8,788.14 and 5,498.48

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Solution

The fourth proportional to 5,887.60, 8,788.14 and 5,498.48 is: 8,207.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,887.60 : 8,788.14 = 5,498.48 : x
  2. Step 2: Convert to fraction form
    5,887.60/8,788.14 = 5,498.48/x
  3. Step 3: Cross multiply
    5,887.60x = 8,788.14 × 5,498.48
  4. Step 4: Simplify right side
    5,887.60x = 48,321,412.03
  5. Step 5: Solve for x
    x = 48,321,412.03/5,887.60
  6. Step 6: Final answer
    x = 8,207.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.