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Finding the Fourth Proportional to 3,838.04, 5,294.63 and 2,265.22

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Solution

The fourth proportional to 3,838.04, 5,294.63 and 2,265.22 is: 3,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.04 : 5,294.63 = 2,265.22 : x
  2. Step 2: Convert to fraction form
    3,838.04/5,294.63 = 2,265.22/x
  3. Step 3: Cross multiply
    3,838.04x = 5,294.63 × 2,265.22
  4. Step 4: Simplify right side
    3,838.04x = 11,993,501.77
  5. Step 5: Solve for x
    x = 11,993,501.77/3,838.04
  6. Step 6: Final answer
    x = 3,124.90

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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.