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Finding the Fourth Proportional to 4,928.64, 7,394.76 and 2,331.78

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Solution

The fourth proportional to 4,928.64, 7,394.76 and 2,331.78 is: 3,498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,928.64 : 7,394.76 = 2,331.78 : x
  2. Step 2: Convert to fraction form
    4,928.64/7,394.76 = 2,331.78/x
  3. Step 3: Cross multiply
    4,928.64x = 7,394.76 × 2,331.78
  4. Step 4: Simplify right side
    4,928.64x = 17,242,953.47
  5. Step 5: Solve for x
    x = 17,242,953.47/4,928.64
  6. Step 6: Final answer
    x = 3,498.52

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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.