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Finding the Fourth Proportional to 3,837.71, 5,295.57 and 2,420.87

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Solution

The fourth proportional to 3,837.71, 5,295.57 and 2,420.87 is: 3,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,837.71 : 5,295.57 = 2,420.87 : x
  2. Step 2: Convert to fraction form
    3,837.71/5,295.57 = 2,420.87/x
  3. Step 3: Cross multiply
    3,837.71x = 5,295.57 × 2,420.87
  4. Step 4: Simplify right side
    3,837.71x = 12,819,860.07
  5. Step 5: Solve for x
    x = 12,819,860.07/3,837.71
  6. Step 6: Final answer
    x = 3,340.50

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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.