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Finding the Fourth Proportional to 3,316.52, 4,576.28 and 1,919

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Solution

The fourth proportional to 3,316.52, 4,576.28 and 1,919 is: 2,647.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316.52 : 4,576.28 = 1,919 : x
  2. Step 2: Convert to fraction form
    3,316.52/4,576.28 = 1,919/x
  3. Step 3: Cross multiply
    3,316.52x = 4,576.28 × 1,919
  4. Step 4: Simplify right side
    3,316.52x = 8,781,881.32
  5. Step 5: Solve for x
    x = 8,781,881.32/3,316.52
  6. Step 6: Final answer
    x = 2,647.92

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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.