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Finding the Fourth Proportional to 3,875.63, 5,814.05 and 1,279.17

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Solution

The fourth proportional to 3,875.63, 5,814.05 and 1,279.17 is: 1,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.63 : 5,814.05 = 1,279.17 : x
  2. Step 2: Convert to fraction form
    3,875.63/5,814.05 = 1,279.17/x
  3. Step 3: Cross multiply
    3,875.63x = 5,814.05 × 1,279.17
  4. Step 4: Simplify right side
    3,875.63x = 7,437,151.94
  5. Step 5: Solve for x
    x = 7,437,151.94/3,875.63
  6. Step 6: Final answer
    x = 1,918.96

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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.