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Finding the Fourth Proportional to 5,066.92, 6,994.04 and 2,971

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Solution

The fourth proportional to 5,066.92, 6,994.04 and 2,971 is: 4,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.92 : 6,994.04 = 2,971 : x
  2. Step 2: Convert to fraction form
    5,066.92/6,994.04 = 2,971/x
  3. Step 3: Cross multiply
    5,066.92x = 6,994.04 × 2,971
  4. Step 4: Simplify right side
    5,066.92x = 20,779,292.84
  5. Step 5: Solve for x
    x = 20,779,292.84/5,066.92
  6. Step 6: Final answer
    x = 4,100.97

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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.