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Finding the Fourth Proportional to 4,868.76, 7,305.12 and 2,270.10

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Solution

The fourth proportional to 4,868.76, 7,305.12 and 2,270.10 is: 3,406.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.76 : 7,305.12 = 2,270.10 : x
  2. Step 2: Convert to fraction form
    4,868.76/7,305.12 = 2,270.10/x
  3. Step 3: Cross multiply
    4,868.76x = 7,305.12 × 2,270.10
  4. Step 4: Simplify right side
    4,868.76x = 16,583,352.91
  5. Step 5: Solve for x
    x = 16,583,352.91/4,868.76
  6. Step 6: Final answer
    x = 3,406.07

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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.