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Finding the Fourth Proportional to 3,561.78, 4,909.50 and 2,814.42

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Solution

The fourth proportional to 3,561.78, 4,909.50 and 2,814.42 is: 3,879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561.78 : 4,909.50 = 2,814.42 : x
  2. Step 2: Convert to fraction form
    3,561.78/4,909.50 = 2,814.42/x
  3. Step 3: Cross multiply
    3,561.78x = 4,909.50 × 2,814.42
  4. Step 4: Simplify right side
    3,561.78x = 13,817,394.99
  5. Step 5: Solve for x
    x = 13,817,394.99/3,561.78
  6. Step 6: Final answer
    x = 3,879.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.