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Finding the Fourth Proportional to 5,668.60, 8,488.53 and 4,741.87

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Solution

The fourth proportional to 5,668.60, 8,488.53 and 4,741.87 is: 7,100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.60 : 8,488.53 = 4,741.87 : x
  2. Step 2: Convert to fraction form
    5,668.60/8,488.53 = 4,741.87/x
  3. Step 3: Cross multiply
    5,668.60x = 8,488.53 × 4,741.87
  4. Step 4: Simplify right side
    5,668.60x = 40,251,505.75
  5. Step 5: Solve for x
    x = 40,251,505.75/5,668.60
  6. Step 6: Final answer
    x = 7,100.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.