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Finding the Fourth Proportional to 4,576.52, 6,314.10 and 2,807.48

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Solution

The fourth proportional to 4,576.52, 6,314.10 and 2,807.48 is: 3,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.52 : 6,314.10 = 2,807.48 : x
  2. Step 2: Convert to fraction form
    4,576.52/6,314.10 = 2,807.48/x
  3. Step 3: Cross multiply
    4,576.52x = 6,314.10 × 2,807.48
  4. Step 4: Simplify right side
    4,576.52x = 17,726,709.47
  5. Step 5: Solve for x
    x = 17,726,709.47/4,576.52
  6. Step 6: Final answer
    x = 3,873.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.