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Finding the Fourth Proportional to 5,065.89, 6,990.98 and 2,912.76

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Solution

The fourth proportional to 5,065.89, 6,990.98 and 2,912.76 is: 4,019.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.89 : 6,990.98 = 2,912.76 : x
  2. Step 2: Convert to fraction form
    5,065.89/6,990.98 = 2,912.76/x
  3. Step 3: Cross multiply
    5,065.89x = 6,990.98 × 2,912.76
  4. Step 4: Simplify right side
    5,065.89x = 20,363,032.34
  5. Step 5: Solve for x
    x = 20,363,032.34/5,065.89
  6. Step 6: Final answer
    x = 4,019.64

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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.