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Finding the Fourth Proportional to 7,237.76, 10,849.28 and 2,849.18

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Solution

The fourth proportional to 7,237.76, 10,849.28 and 2,849.18 is: 4,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,237.76 : 10,849.28 = 2,849.18 : x
  2. Step 2: Convert to fraction form
    7,237.76/10,849.28 = 2,849.18/x
  3. Step 3: Cross multiply
    7,237.76x = 10,849.28 × 2,849.18
  4. Step 4: Simplify right side
    7,237.76x = 30,911,483.10
  5. Step 5: Solve for x
    x = 30,911,483.10/7,237.76
  6. Step 6: Final answer
    x = 4,270.87

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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.