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Finding the Fourth Proportional to 5,514.60, 8,271.90 and 5,197.80

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Solution

The fourth proportional to 5,514.60, 8,271.90 and 5,197.80 is: 7,796.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.60 : 8,271.90 = 5,197.80 : x
  2. Step 2: Convert to fraction form
    5,514.60/8,271.90 = 5,197.80/x
  3. Step 3: Cross multiply
    5,514.60x = 8,271.90 × 5,197.80
  4. Step 4: Simplify right side
    5,514.60x = 42,995,681.82
  5. Step 5: Solve for x
    x = 42,995,681.82/5,514.60
  6. Step 6: Final answer
    x = 7,796.70

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