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Finding the Fourth Proportional to 3,494.52, 5,246.64 and 1,851.84

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Solution

The fourth proportional to 3,494.52, 5,246.64 and 1,851.84 is: 2,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.52 : 5,246.64 = 1,851.84 : x
  2. Step 2: Convert to fraction form
    3,494.52/5,246.64 = 1,851.84/x
  3. Step 3: Cross multiply
    3,494.52x = 5,246.64 × 1,851.84
  4. Step 4: Simplify right side
    3,494.52x = 9,715,937.82
  5. Step 5: Solve for x
    x = 9,715,937.82/3,494.52
  6. Step 6: Final answer
    x = 2,780.34

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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.