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Finding the Fourth Proportional to 4,977.84, 6,865.38 and 4,379.04

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Solution

The fourth proportional to 4,977.84, 6,865.38 and 4,379.04 is: 6,039.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.84 : 6,865.38 = 4,379.04 : x
  2. Step 2: Convert to fraction form
    4,977.84/6,865.38 = 4,379.04/x
  3. Step 3: Cross multiply
    4,977.84x = 6,865.38 × 4,379.04
  4. Step 4: Simplify right side
    4,977.84x = 30,063,773.64
  5. Step 5: Solve for x
    x = 30,063,773.64/4,977.84
  6. Step 6: Final answer
    x = 6,039.52

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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.