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Finding the Fourth Proportional to 3,709.32, 5,558.94 and 1,861.76

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Solution

The fourth proportional to 3,709.32, 5,558.94 and 1,861.76 is: 2,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.32 : 5,558.94 = 1,861.76 : x
  2. Step 2: Convert to fraction form
    3,709.32/5,558.94 = 1,861.76/x
  3. Step 3: Cross multiply
    3,709.32x = 5,558.94 × 1,861.76
  4. Step 4: Simplify right side
    3,709.32x = 10,349,384.34
  5. Step 5: Solve for x
    x = 10,349,384.34/3,709.32
  6. Step 6: Final answer
    x = 2,790.10

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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.