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Finding the Fourth Proportional to 3,807.86, 5,712.51 and 1,342.40

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Solution

The fourth proportional to 3,807.86, 5,712.51 and 1,342.40 is: 2,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.86 : 5,712.51 = 1,342.40 : x
  2. Step 2: Convert to fraction form
    3,807.86/5,712.51 = 1,342.40/x
  3. Step 3: Cross multiply
    3,807.86x = 5,712.51 × 1,342.40
  4. Step 4: Simplify right side
    3,807.86x = 7,668,473.42
  5. Step 5: Solve for x
    x = 7,668,473.42/3,807.86
  6. Step 6: Final answer
    x = 2,013.85

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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.