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Finding the Fourth Proportional to 4,476.84, 6,174.68 and 2,706.18

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Solution

The fourth proportional to 4,476.84, 6,174.68 and 2,706.18 is: 3,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.84 : 6,174.68 = 2,706.18 : x
  2. Step 2: Convert to fraction form
    4,476.84/6,174.68 = 2,706.18/x
  3. Step 3: Cross multiply
    4,476.84x = 6,174.68 × 2,706.18
  4. Step 4: Simplify right side
    4,476.84x = 16,709,774.06
  5. Step 5: Solve for x
    x = 16,709,774.06/4,476.84
  6. Step 6: Final answer
    x = 3,732.50

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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.