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Finding the Fourth Proportional to 4,769.28, 7,155.98 and 2,305.95

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Solution

The fourth proportional to 4,769.28, 7,155.98 and 2,305.95 is: 3,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.28 : 7,155.98 = 2,305.95 : x
  2. Step 2: Convert to fraction form
    4,769.28/7,155.98 = 2,305.95/x
  3. Step 3: Cross multiply
    4,769.28x = 7,155.98 × 2,305.95
  4. Step 4: Simplify right side
    4,769.28x = 16,501,320.55
  5. Step 5: Solve for x
    x = 16,501,320.55/4,769.28
  6. Step 6: Final answer
    x = 3,459.92

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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.