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Finding the Fourth Proportional to 3,497.68, 4,827.08 and 2,006.08

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Solution

The fourth proportional to 3,497.68, 4,827.08 and 2,006.08 is: 2,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.68 : 4,827.08 = 2,006.08 : x
  2. Step 2: Convert to fraction form
    3,497.68/4,827.08 = 2,006.08/x
  3. Step 3: Cross multiply
    3,497.68x = 4,827.08 × 2,006.08
  4. Step 4: Simplify right side
    3,497.68x = 9,683,508.65
  5. Step 5: Solve for x
    x = 9,683,508.65/3,497.68
  6. Step 6: Final answer
    x = 2,768.55

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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.