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Finding the Fourth Proportional to 3,814.70, 5,264.19 and 2,242.89

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Solution

The fourth proportional to 3,814.70, 5,264.19 and 2,242.89 is: 3,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.70 : 5,264.19 = 2,242.89 : x
  2. Step 2: Convert to fraction form
    3,814.70/5,264.19 = 2,242.89/x
  3. Step 3: Cross multiply
    3,814.70x = 5,264.19 × 2,242.89
  4. Step 4: Simplify right side
    3,814.70x = 11,806,999.11
  5. Step 5: Solve for x
    x = 11,806,999.11/3,814.70
  6. Step 6: Final answer
    x = 3,095.14

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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.