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Finding the Fourth Proportional to 3,807.95, 5,712.74 and 1,617.71

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Solution

The fourth proportional to 3,807.95, 5,712.74 and 1,617.71 is: 2,426.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.95 : 5,712.74 = 1,617.71 : x
  2. Step 2: Convert to fraction form
    3,807.95/5,712.74 = 1,617.71/x
  3. Step 3: Cross multiply
    3,807.95x = 5,712.74 × 1,617.71
  4. Step 4: Simplify right side
    3,807.95x = 9,241,556.63
  5. Step 5: Solve for x
    x = 9,241,556.63/3,807.95
  6. Step 6: Final answer
    x = 2,426.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.