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Finding the Fourth Proportional to 8,281.80, 12,421.62 and 3,897

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Solution

The fourth proportional to 8,281.80, 12,421.62 and 3,897 is: 5,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,281.80 : 12,421.62 = 3,897 : x
  2. Step 2: Convert to fraction form
    8,281.80/12,421.62 = 3,897/x
  3. Step 3: Cross multiply
    8,281.80x = 12,421.62 × 3,897
  4. Step 4: Simplify right side
    8,281.80x = 48,407,053.14
  5. Step 5: Solve for x
    x = 48,407,053.14/8,281.80
  6. Step 6: Final answer
    x = 5,844.99

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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.