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Finding the Fourth Proportional to 3,524.04, 4,863 and 2,032.02

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Solution

The fourth proportional to 3,524.04, 4,863 and 2,032.02 is: 2,804.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.04 : 4,863 = 2,032.02 : x
  2. Step 2: Convert to fraction form
    3,524.04/4,863 = 2,032.02/x
  3. Step 3: Cross multiply
    3,524.04x = 4,863 × 2,032.02
  4. Step 4: Simplify right side
    3,524.04x = 9,881,713.26
  5. Step 5: Solve for x
    x = 9,881,713.26/3,524.04
  6. Step 6: Final answer
    x = 2,804.09

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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.