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Finding the Fourth Proportional to 3,766.29, 5,648.40 and 1,574.55

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Solution

The fourth proportional to 3,766.29, 5,648.40 and 1,574.55 is: 2,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.29 : 5,648.40 = 1,574.55 : x
  2. Step 2: Convert to fraction form
    3,766.29/5,648.40 = 1,574.55/x
  3. Step 3: Cross multiply
    3,766.29x = 5,648.40 × 1,574.55
  4. Step 4: Simplify right side
    3,766.29x = 8,893,688.22
  5. Step 5: Solve for x
    x = 8,893,688.22/3,766.29
  6. Step 6: Final answer
    x = 2,361.39

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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.