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Finding the Fourth Proportional to 5,274.33, 7,911.47 and 1,576.55

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Solution

The fourth proportional to 5,274.33, 7,911.47 and 1,576.55 is: 2,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.33 : 7,911.47 = 1,576.55 : x
  2. Step 2: Convert to fraction form
    5,274.33/7,911.47 = 1,576.55/x
  3. Step 3: Cross multiply
    5,274.33x = 7,911.47 × 1,576.55
  4. Step 4: Simplify right side
    5,274.33x = 12,472,851.75
  5. Step 5: Solve for x
    x = 12,472,851.75/5,274.33
  6. Step 6: Final answer
    x = 2,364.82

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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.