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Finding the Fourth Proportional to 3,534.63, 4,877.42 and 2,043.03

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Solution

The fourth proportional to 3,534.63, 4,877.42 and 2,043.03 is: 2,819.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.63 : 4,877.42 = 2,043.03 : x
  2. Step 2: Convert to fraction form
    3,534.63/4,877.42 = 2,043.03/x
  3. Step 3: Cross multiply
    3,534.63x = 4,877.42 × 2,043.03
  4. Step 4: Simplify right side
    3,534.63x = 9,964,715.38
  5. Step 5: Solve for x
    x = 9,964,715.38/3,534.63
  6. Step 6: Final answer
    x = 2,819.17

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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.