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Finding the Fourth Proportional to 4,934.64, 7,405.14 and 2,853.36

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Solution

The fourth proportional to 4,934.64, 7,405.14 and 2,853.36 is: 4,281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.64 : 7,405.14 = 2,853.36 : x
  2. Step 2: Convert to fraction form
    4,934.64/7,405.14 = 2,853.36/x
  3. Step 3: Cross multiply
    4,934.64x = 7,405.14 × 2,853.36
  4. Step 4: Simplify right side
    4,934.64x = 21,129,530.27
  5. Step 5: Solve for x
    x = 21,129,530.27/4,934.64
  6. Step 6: Final answer
    x = 4,281.88

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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.