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Finding the Fourth Proportional to 3,807.07, 5,252.18 and 2,314.74

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Solution

The fourth proportional to 3,807.07, 5,252.18 and 2,314.74 is: 3,193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.07 : 5,252.18 = 2,314.74 : x
  2. Step 2: Convert to fraction form
    3,807.07/5,252.18 = 2,314.74/x
  3. Step 3: Cross multiply
    3,807.07x = 5,252.18 × 2,314.74
  4. Step 4: Simplify right side
    3,807.07x = 12,157,439.26
  5. Step 5: Solve for x
    x = 12,157,439.26/3,807.07
  6. Step 6: Final answer
    x = 3,193.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.