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Finding the Fourth Proportional to 5,703.46, 7,868.61 and 3,464.49

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Solution

The fourth proportional to 5,703.46, 7,868.61 and 3,464.49 is: 4,779.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.46 : 7,868.61 = 3,464.49 : x
  2. Step 2: Convert to fraction form
    5,703.46/7,868.61 = 3,464.49/x
  3. Step 3: Cross multiply
    5,703.46x = 7,868.61 × 3,464.49
  4. Step 4: Simplify right side
    5,703.46x = 27,260,720.66
  5. Step 5: Solve for x
    x = 27,260,720.66/5,703.46
  6. Step 6: Final answer
    x = 4,779.68

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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.