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Finding the Fourth Proportional to 4,856.04, 7,286.22 and 2,547

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Solution

The fourth proportional to 4,856.04, 7,286.22 and 2,547 is: 3,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.04 : 7,286.22 = 2,547 : x
  2. Step 2: Convert to fraction form
    4,856.04/7,286.22 = 2,547/x
  3. Step 3: Cross multiply
    4,856.04x = 7,286.22 × 2,547
  4. Step 4: Simplify right side
    4,856.04x = 18,558,002.34
  5. Step 5: Solve for x
    x = 18,558,002.34/4,856.04
  6. Step 6: Final answer
    x = 3,821.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.