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Finding the Fourth Proportional to 3,460.80, 4,776.34 and 3,165.56

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Solution

The fourth proportional to 3,460.80, 4,776.34 and 3,165.56 is: 4,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.80 : 4,776.34 = 3,165.56 : x
  2. Step 2: Convert to fraction form
    3,460.80/4,776.34 = 3,165.56/x
  3. Step 3: Cross multiply
    3,460.80x = 4,776.34 × 3,165.56
  4. Step 4: Simplify right side
    3,460.80x = 15,119,790.85
  5. Step 5: Solve for x
    x = 15,119,790.85/3,460.80
  6. Step 6: Final answer
    x = 4,368.87

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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.