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Finding the Fourth Proportional to 3,807.74, 5,252.81 and 2,315.13

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Solution

The fourth proportional to 3,807.74, 5,252.81 and 2,315.13 is: 3,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.74 : 5,252.81 = 2,315.13 : x
  2. Step 2: Convert to fraction form
    3,807.74/5,252.81 = 2,315.13/x
  3. Step 3: Cross multiply
    3,807.74x = 5,252.81 × 2,315.13
  4. Step 4: Simplify right side
    3,807.74x = 12,160,926.44
  5. Step 5: Solve for x
    x = 12,160,926.44/3,807.74
  6. Step 6: Final answer
    x = 3,193.74

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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.