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Finding the Fourth Proportional to 2,895.84, 3,993.33 and 2,575.80

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Solution

The fourth proportional to 2,895.84, 3,993.33 and 2,575.80 is: 3,552.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,895.84 : 3,993.33 = 2,575.80 : x
  2. Step 2: Convert to fraction form
    2,895.84/3,993.33 = 2,575.80/x
  3. Step 3: Cross multiply
    2,895.84x = 3,993.33 × 2,575.80
  4. Step 4: Simplify right side
    2,895.84x = 10,286,019.41
  5. Step 5: Solve for x
    x = 10,286,019.41/2,895.84
  6. Step 6: Final answer
    x = 3,552.00

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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.