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Finding the Fourth Proportional to 3,625.52, 4,998.84 and 3,065

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Solution

The fourth proportional to 3,625.52, 4,998.84 and 3,065 is: 4,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.52 : 4,998.84 = 3,065 : x
  2. Step 2: Convert to fraction form
    3,625.52/4,998.84 = 3,065/x
  3. Step 3: Cross multiply
    3,625.52x = 4,998.84 × 3,065
  4. Step 4: Simplify right side
    3,625.52x = 15,321,444.60
  5. Step 5: Solve for x
    x = 15,321,444.60/3,625.52
  6. Step 6: Final answer
    x = 4,226.00

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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.