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Finding the Fourth Proportional to 4,195.84, 6,286.08 and 3,088

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Solution

The fourth proportional to 4,195.84, 6,286.08 and 3,088 is: 4,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.84 : 6,286.08 = 3,088 : x
  2. Step 2: Convert to fraction form
    4,195.84/6,286.08 = 3,088/x
  3. Step 3: Cross multiply
    4,195.84x = 6,286.08 × 3,088
  4. Step 4: Simplify right side
    4,195.84x = 19,411,415.04
  5. Step 5: Solve for x
    x = 19,411,415.04/4,195.84
  6. Step 6: Final answer
    x = 4,626.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.