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Finding the Fourth Proportional to 5,273.64, 7,278.02 and 2,916.19

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Solution

The fourth proportional to 5,273.64, 7,278.02 and 2,916.19 is: 4,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.64 : 7,278.02 = 2,916.19 : x
  2. Step 2: Convert to fraction form
    5,273.64/7,278.02 = 2,916.19/x
  3. Step 3: Cross multiply
    5,273.64x = 7,278.02 × 2,916.19
  4. Step 4: Simplify right side
    5,273.64x = 21,224,089.14
  5. Step 5: Solve for x
    x = 21,224,089.14/5,273.64
  6. Step 6: Final answer
    x = 4,024.56

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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.