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Finding the Fourth Proportional to 4,777.88, 6,593.47 and 2,682

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Solution

The fourth proportional to 4,777.88, 6,593.47 and 2,682 is: 3,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.88 : 6,593.47 = 2,682 : x
  2. Step 2: Convert to fraction form
    4,777.88/6,593.47 = 2,682/x
  3. Step 3: Cross multiply
    4,777.88x = 6,593.47 × 2,682
  4. Step 4: Simplify right side
    4,777.88x = 17,683,686.54
  5. Step 5: Solve for x
    x = 17,683,686.54/4,777.88
  6. Step 6: Final answer
    x = 3,701.16

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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.