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Finding the Fourth Proportional to 4,990.10, 6,885.87 and 2,894

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Solution

The fourth proportional to 4,990.10, 6,885.87 and 2,894 is: 3,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.10 : 6,885.87 = 2,894 : x
  2. Step 2: Convert to fraction form
    4,990.10/6,885.87 = 2,894/x
  3. Step 3: Cross multiply
    4,990.10x = 6,885.87 × 2,894
  4. Step 4: Simplify right side
    4,990.10x = 19,927,707.78
  5. Step 5: Solve for x
    x = 19,927,707.78/4,990.10
  6. Step 6: Final answer
    x = 3,993.45

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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.