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Finding the Fourth Proportional to 3,364.02, 4,640.03 and 2,036.03

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Solution

The fourth proportional to 3,364.02, 4,640.03 and 2,036.03 is: 2,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.02 : 4,640.03 = 2,036.03 : x
  2. Step 2: Convert to fraction form
    3,364.02/4,640.03 = 2,036.03/x
  3. Step 3: Cross multiply
    3,364.02x = 4,640.03 × 2,036.03
  4. Step 4: Simplify right side
    3,364.02x = 9,447,206.90
  5. Step 5: Solve for x
    x = 9,447,206.90/3,364.02
  6. Step 6: Final answer
    x = 2,808.31

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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.