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Finding the Fourth Proportional to 4,387, 6,054.06 and 2,524

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Solution

The fourth proportional to 4,387, 6,054.06 and 2,524 is: 3,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,387 : 6,054.06 = 2,524 : x
  2. Step 2: Convert to fraction form
    4,387/6,054.06 = 2,524/x
  3. Step 3: Cross multiply
    4,387x = 6,054.06 × 2,524
  4. Step 4: Simplify right side
    4,387x = 15,280,447.44
  5. Step 5: Solve for x
    x = 15,280,447.44/4,387
  6. Step 6: Final answer
    x = 3,483.12

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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.