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Finding the Fourth Proportional to 4,894.94, 6,747.36 and 3,320.30

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Solution

The fourth proportional to 4,894.94, 6,747.36 and 3,320.30 is: 4,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,894.94 : 6,747.36 = 3,320.30 : x
  2. Step 2: Convert to fraction form
    4,894.94/6,747.36 = 3,320.30/x
  3. Step 3: Cross multiply
    4,894.94x = 6,747.36 × 3,320.30
  4. Step 4: Simplify right side
    4,894.94x = 22,403,259.41
  5. Step 5: Solve for x
    x = 22,403,259.41/4,894.94
  6. Step 6: Final answer
    x = 4,576.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.