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Finding the Fourth Proportional to 4,151.84, 5,730.06 and 2,384

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Solution

The fourth proportional to 4,151.84, 5,730.06 and 2,384 is: 3,290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.84 : 5,730.06 = 2,384 : x
  2. Step 2: Convert to fraction form
    4,151.84/5,730.06 = 2,384/x
  3. Step 3: Cross multiply
    4,151.84x = 5,730.06 × 2,384
  4. Step 4: Simplify right side
    4,151.84x = 13,660,463.04
  5. Step 5: Solve for x
    x = 13,660,463.04/4,151.84
  6. Step 6: Final answer
    x = 3,290.22

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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.