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Finding the Fourth Proportional to 3,364.94, 5,044.45 and 1,311.50

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Solution

The fourth proportional to 3,364.94, 5,044.45 and 1,311.50 is: 1,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.94 : 5,044.45 = 1,311.50 : x
  2. Step 2: Convert to fraction form
    3,364.94/5,044.45 = 1,311.50/x
  3. Step 3: Cross multiply
    3,364.94x = 5,044.45 × 1,311.50
  4. Step 4: Simplify right side
    3,364.94x = 6,615,796.18
  5. Step 5: Solve for x
    x = 6,615,796.18/3,364.94
  6. Step 6: Final answer
    x = 1,966.10

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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.