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Finding the Fourth Proportional to 4,616.88, 6,371.31 and 2,521

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Solution

The fourth proportional to 4,616.88, 6,371.31 and 2,521 is: 3,478.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.88 : 6,371.31 = 2,521 : x
  2. Step 2: Convert to fraction form
    4,616.88/6,371.31 = 2,521/x
  3. Step 3: Cross multiply
    4,616.88x = 6,371.31 × 2,521
  4. Step 4: Simplify right side
    4,616.88x = 16,062,072.51
  5. Step 5: Solve for x
    x = 16,062,072.51/4,616.88
  6. Step 6: Final answer
    x = 3,478.99

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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.