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Finding the Fourth Proportional to 5,974.86, 8,962.65 and 1,814.52

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Solution

The fourth proportional to 5,974.86, 8,962.65 and 1,814.52 is: 2,721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.86 : 8,962.65 = 1,814.52 : x
  2. Step 2: Convert to fraction form
    5,974.86/8,962.65 = 1,814.52/x
  3. Step 3: Cross multiply
    5,974.86x = 8,962.65 × 1,814.52
  4. Step 4: Simplify right side
    5,974.86x = 16,262,907.68
  5. Step 5: Solve for x
    x = 16,262,907.68/5,974.86
  6. Step 6: Final answer
    x = 2,721.89

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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.