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Finding the Fourth Proportional to 3,464.70, 4,775.82 and 3,178.68

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Solution

The fourth proportional to 3,464.70, 4,775.82 and 3,178.68 is: 4,381.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.70 : 4,775.82 = 3,178.68 : x
  2. Step 2: Convert to fraction form
    3,464.70/4,775.82 = 3,178.68/x
  3. Step 3: Cross multiply
    3,464.70x = 4,775.82 × 3,178.68
  4. Step 4: Simplify right side
    3,464.70x = 15,180,803.52
  5. Step 5: Solve for x
    x = 15,180,803.52/3,464.70
  6. Step 6: Final answer
    x = 4,381.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.