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Finding the Fourth Proportional to 3,463.98, 4,779.10 and 1,971.52

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Solution

The fourth proportional to 3,463.98, 4,779.10 and 1,971.52 is: 2,720.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.98 : 4,779.10 = 1,971.52 : x
  2. Step 2: Convert to fraction form
    3,463.98/4,779.10 = 1,971.52/x
  3. Step 3: Cross multiply
    3,463.98x = 4,779.10 × 1,971.52
  4. Step 4: Simplify right side
    3,463.98x = 9,422,081.75
  5. Step 5: Solve for x
    x = 9,422,081.75/3,463.98
  6. Step 6: Final answer
    x = 2,720.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.