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Finding the Fourth Proportional to 3,709.12, 5,563.68 and 2,349.76

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Solution

The fourth proportional to 3,709.12, 5,563.68 and 2,349.76 is: 3,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.12 : 5,563.68 = 2,349.76 : x
  2. Step 2: Convert to fraction form
    3,709.12/5,563.68 = 2,349.76/x
  3. Step 3: Cross multiply
    3,709.12x = 5,563.68 × 2,349.76
  4. Step 4: Simplify right side
    3,709.12x = 13,073,312.72
  5. Step 5: Solve for x
    x = 13,073,312.72/3,709.12
  6. Step 6: Final answer
    x = 3,524.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.