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Finding the Fourth Proportional to 4,697.06, 7,042.95 and 4,164.08

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Solution

The fourth proportional to 4,697.06, 7,042.95 and 4,164.08 is: 6,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.06 : 7,042.95 = 4,164.08 : x
  2. Step 2: Convert to fraction form
    4,697.06/7,042.95 = 4,164.08/x
  3. Step 3: Cross multiply
    4,697.06x = 7,042.95 × 4,164.08
  4. Step 4: Simplify right side
    4,697.06x = 29,327,372.02
  5. Step 5: Solve for x
    x = 29,327,372.02/4,697.06
  6. Step 6: Final answer
    x = 6,243.78

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