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Finding the Fourth Proportional to 3,815.46, 5,264.76 and 2,136.84

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Solution

The fourth proportional to 3,815.46, 5,264.76 and 2,136.84 is: 2,948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.46 : 5,264.76 = 2,136.84 : x
  2. Step 2: Convert to fraction form
    3,815.46/5,264.76 = 2,136.84/x
  3. Step 3: Cross multiply
    3,815.46x = 5,264.76 × 2,136.84
  4. Step 4: Simplify right side
    3,815.46x = 11,249,949.76
  5. Step 5: Solve for x
    x = 11,249,949.76/3,815.46
  6. Step 6: Final answer
    x = 2,948.52

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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.