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Finding the Fourth Proportional to 4,899.09, 6,758.46 and 2,802

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Solution

The fourth proportional to 4,899.09, 6,758.46 and 2,802 is: 3,865.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,899.09 : 6,758.46 = 2,802 : x
  2. Step 2: Convert to fraction form
    4,899.09/6,758.46 = 2,802/x
  3. Step 3: Cross multiply
    4,899.09x = 6,758.46 × 2,802
  4. Step 4: Simplify right side
    4,899.09x = 18,937,204.92
  5. Step 5: Solve for x
    x = 18,937,204.92/4,899.09
  6. Step 6: Final answer
    x = 3,865.45

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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.