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Finding the Fourth Proportional to 5,012.97, 6,905.06 and 4,215.40

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Solution

The fourth proportional to 5,012.97, 6,905.06 and 4,215.40 is: 5,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.97 : 6,905.06 = 4,215.40 : x
  2. Step 2: Convert to fraction form
    5,012.97/6,905.06 = 4,215.40/x
  3. Step 3: Cross multiply
    5,012.97x = 6,905.06 × 4,215.40
  4. Step 4: Simplify right side
    5,012.97x = 29,107,589.92
  5. Step 5: Solve for x
    x = 29,107,589.92/5,012.97
  6. Step 6: Final answer
    x = 5,806.46

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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.