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Finding the Fourth Proportional to 4,587, 6,331.56 and 2,698.56

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Solution

The fourth proportional to 4,587, 6,331.56 and 2,698.56 is: 3,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587 : 6,331.56 = 2,698.56 : x
  2. Step 2: Convert to fraction form
    4,587/6,331.56 = 2,698.56/x
  3. Step 3: Cross multiply
    4,587x = 6,331.56 × 2,698.56
  4. Step 4: Simplify right side
    4,587x = 17,086,094.55
  5. Step 5: Solve for x
    x = 17,086,094.55/4,587
  6. Step 6: Final answer
    x = 3,724.90

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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.