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Finding the Fourth Proportional to 3,871.62, 5,807.79 and 1,274.58

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Solution

The fourth proportional to 3,871.62, 5,807.79 and 1,274.58 is: 1,911.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.62 : 5,807.79 = 1,274.58 : x
  2. Step 2: Convert to fraction form
    3,871.62/5,807.79 = 1,274.58/x
  3. Step 3: Cross multiply
    3,871.62x = 5,807.79 × 1,274.58
  4. Step 4: Simplify right side
    3,871.62x = 7,402,492.98
  5. Step 5: Solve for x
    x = 7,402,492.98/3,871.62
  6. Step 6: Final answer
    x = 1,911.99

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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.