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Finding the Fourth Proportional to 3,756.29, 5,184.39 and 2,264.42

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Solution

The fourth proportional to 3,756.29, 5,184.39 and 2,264.42 is: 3,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.29 : 5,184.39 = 2,264.42 : x
  2. Step 2: Convert to fraction form
    3,756.29/5,184.39 = 2,264.42/x
  3. Step 3: Cross multiply
    3,756.29x = 5,184.39 × 2,264.42
  4. Step 4: Simplify right side
    3,756.29x = 11,739,636.40
  5. Step 5: Solve for x
    x = 11,739,636.40/3,756.29
  6. Step 6: Final answer
    x = 3,125.33

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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.