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Finding the Fourth Proportional to 3,047.04, 4,566.72 and 1,893.12

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Solution

The fourth proportional to 3,047.04, 4,566.72 and 1,893.12 is: 2,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.04 : 4,566.72 = 1,893.12 : x
  2. Step 2: Convert to fraction form
    3,047.04/4,566.72 = 1,893.12/x
  3. Step 3: Cross multiply
    3,047.04x = 4,566.72 × 1,893.12
  4. Step 4: Simplify right side
    3,047.04x = 8,645,348.97
  5. Step 5: Solve for x
    x = 8,645,348.97/3,047.04
  6. Step 6: Final answer
    x = 2,837.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.