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Finding the Fourth Proportional to 5,678.74, 8,508.67 and 3,482.85

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Solution

The fourth proportional to 5,678.74, 8,508.67 and 3,482.85 is: 5,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.74 : 8,508.67 = 3,482.85 : x
  2. Step 2: Convert to fraction form
    5,678.74/8,508.67 = 3,482.85/x
  3. Step 3: Cross multiply
    5,678.74x = 8,508.67 × 3,482.85
  4. Step 4: Simplify right side
    5,678.74x = 29,634,421.31
  5. Step 5: Solve for x
    x = 29,634,421.31/5,678.74
  6. Step 6: Final answer
    x = 5,218.49

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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.