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Finding the Fourth Proportional to 3,709.47, 5,123.01 and 2,519.76

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Solution

The fourth proportional to 3,709.47, 5,123.01 and 2,519.76 is: 3,479.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.47 : 5,123.01 = 2,519.76 : x
  2. Step 2: Convert to fraction form
    3,709.47/5,123.01 = 2,519.76/x
  3. Step 3: Cross multiply
    3,709.47x = 5,123.01 × 2,519.76
  4. Step 4: Simplify right side
    3,709.47x = 12,908,744.89
  5. Step 5: Solve for x
    x = 12,908,744.89/3,709.47
  6. Step 6: Final answer
    x = 3,479.94

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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.