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Finding the Fourth Proportional to 4,769.71, 7,154.49 and 2,303.26

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Solution

The fourth proportional to 4,769.71, 7,154.49 and 2,303.26 is: 3,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.71 : 7,154.49 = 2,303.26 : x
  2. Step 2: Convert to fraction form
    4,769.71/7,154.49 = 2,303.26/x
  3. Step 3: Cross multiply
    4,769.71x = 7,154.49 × 2,303.26
  4. Step 4: Simplify right side
    4,769.71x = 16,478,650.64
  5. Step 5: Solve for x
    x = 16,478,650.64/4,769.71
  6. Step 6: Final answer
    x = 3,454.85

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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.