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Finding the Fourth Proportional to 3,463.11, 4,779.08 and 1,971.02

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Solution

The fourth proportional to 3,463.11, 4,779.08 and 1,971.02 is: 2,720.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.11 : 4,779.08 = 1,971.02 : x
  2. Step 2: Convert to fraction form
    3,463.11/4,779.08 = 1,971.02/x
  3. Step 3: Cross multiply
    3,463.11x = 4,779.08 × 1,971.02
  4. Step 4: Simplify right side
    3,463.11x = 9,419,664.35
  5. Step 5: Solve for x
    x = 9,419,664.35/3,463.11
  6. Step 6: Final answer
    x = 2,720.00

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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.