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Finding the Fourth Proportional to 4,854.82, 7,277.91 and 2,256.34

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Solution

The fourth proportional to 4,854.82, 7,277.91 and 2,256.34 is: 3,382.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.82 : 7,277.91 = 2,256.34 : x
  2. Step 2: Convert to fraction form
    4,854.82/7,277.91 = 2,256.34/x
  3. Step 3: Cross multiply
    4,854.82x = 7,277.91 × 2,256.34
  4. Step 4: Simplify right side
    4,854.82x = 16,421,439.45
  5. Step 5: Solve for x
    x = 16,421,439.45/4,854.82
  6. Step 6: Final answer
    x = 3,382.50

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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.