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Finding the Fourth Proportional to 5,514.60, 8,271.90 and 5,147.40

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Solution

The fourth proportional to 5,514.60, 8,271.90 and 5,147.40 is: 7,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,514.60 : 8,271.90 = 5,147.40 : x
  2. Step 2: Convert to fraction form
    5,514.60/8,271.90 = 5,147.40/x
  3. Step 3: Cross multiply
    5,514.60x = 8,271.90 × 5,147.40
  4. Step 4: Simplify right side
    5,514.60x = 42,578,778.06
  5. Step 5: Solve for x
    x = 42,578,778.06/5,514.60
  6. Step 6: Final answer
    x = 7,721.10

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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.