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Finding the Fourth Proportional to 4,380.86, 6,047.82 and 2,972.00

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Solution

The fourth proportional to 4,380.86, 6,047.82 and 2,972.00 is: 4,102.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.86 : 6,047.82 = 2,972.00 : x
  2. Step 2: Convert to fraction form
    4,380.86/6,047.82 = 2,972.00/x
  3. Step 3: Cross multiply
    4,380.86x = 6,047.82 × 2,972.00
  4. Step 4: Simplify right side
    4,380.86x = 17,974,090.80
  5. Step 5: Solve for x
    x = 17,974,090.80/4,380.86
  6. Step 6: Final answer
    x = 4,102.87

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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.