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Finding the Fourth Proportional to 5,703.64, 8,552.06 and 2,779

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Solution

The fourth proportional to 5,703.64, 8,552.06 and 2,779 is: 4,166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.64 : 8,552.06 = 2,779 : x
  2. Step 2: Convert to fraction form
    5,703.64/8,552.06 = 2,779/x
  3. Step 3: Cross multiply
    5,703.64x = 8,552.06 × 2,779
  4. Step 4: Simplify right side
    5,703.64x = 23,766,174.74
  5. Step 5: Solve for x
    x = 23,766,174.74/5,703.64
  6. Step 6: Final answer
    x = 4,166.84

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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.