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Finding the Fourth Proportional to 5,278.37, 7,916.38 and 1,580.11

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Solution

The fourth proportional to 5,278.37, 7,916.38 and 1,580.11 is: 2,369.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,278.37 : 7,916.38 = 1,580.11 : x
  2. Step 2: Convert to fraction form
    5,278.37/7,916.38 = 1,580.11/x
  3. Step 3: Cross multiply
    5,278.37x = 7,916.38 × 1,580.11
  4. Step 4: Simplify right side
    5,278.37x = 12,508,727.46
  5. Step 5: Solve for x
    x = 12,508,727.46/5,278.37
  6. Step 6: Final answer
    x = 2,369.81

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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.