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Finding the Fourth Proportional to 5,587.44, 7,710.24 and 3,228

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Solution

The fourth proportional to 5,587.44, 7,710.24 and 3,228 is: 4,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.44 : 7,710.24 = 3,228 : x
  2. Step 2: Convert to fraction form
    5,587.44/7,710.24 = 3,228/x
  3. Step 3: Cross multiply
    5,587.44x = 7,710.24 × 3,228
  4. Step 4: Simplify right side
    5,587.44x = 24,888,654.72
  5. Step 5: Solve for x
    x = 24,888,654.72/5,587.44
  6. Step 6: Final answer
    x = 4,454.39

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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.