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Finding the Fourth Proportional to 3,606.52, 4,976.70 and 2,035

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Solution

The fourth proportional to 3,606.52, 4,976.70 and 2,035 is: 2,808.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.52 : 4,976.70 = 2,035 : x
  2. Step 2: Convert to fraction form
    3,606.52/4,976.70 = 2,035/x
  3. Step 3: Cross multiply
    3,606.52x = 4,976.70 × 2,035
  4. Step 4: Simplify right side
    3,606.52x = 10,127,584.50
  5. Step 5: Solve for x
    x = 10,127,584.50/3,606.52
  6. Step 6: Final answer
    x = 2,808.13

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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.