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Finding the Fourth Proportional to 4,724.31, 7,083.42 and 1,801.02

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Solution

The fourth proportional to 4,724.31, 7,083.42 and 1,801.02 is: 2,700.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.31 : 7,083.42 = 1,801.02 : x
  2. Step 2: Convert to fraction form
    4,724.31/7,083.42 = 1,801.02/x
  3. Step 3: Cross multiply
    4,724.31x = 7,083.42 × 1,801.02
  4. Step 4: Simplify right side
    4,724.31x = 12,757,345.67
  5. Step 5: Solve for x
    x = 12,757,345.67/4,724.31
  6. Step 6: Final answer
    x = 2,700.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.