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Finding the Fourth Proportional to 3,488.94, 5,257.41 and 2,886.21

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Solution

The fourth proportional to 3,488.94, 5,257.41 and 2,886.21 is: 4,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.94 : 5,257.41 = 2,886.21 : x
  2. Step 2: Convert to fraction form
    3,488.94/5,257.41 = 2,886.21/x
  3. Step 3: Cross multiply
    3,488.94x = 5,257.41 × 2,886.21
  4. Step 4: Simplify right side
    3,488.94x = 15,173,989.32
  5. Step 5: Solve for x
    x = 15,173,989.32/3,488.94
  6. Step 6: Final answer
    x = 4,349.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.