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Finding the Fourth Proportional to 3,217.14, 4,827.06 and 1,368.65

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Solution

The fourth proportional to 3,217.14, 4,827.06 and 1,368.65 is: 2,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,217.14 : 4,827.06 = 1,368.65 : x
  2. Step 2: Convert to fraction form
    3,217.14/4,827.06 = 1,368.65/x
  3. Step 3: Cross multiply
    3,217.14x = 4,827.06 × 1,368.65
  4. Step 4: Simplify right side
    3,217.14x = 6,606,567.74
  5. Step 5: Solve for x
    x = 6,606,567.74/3,217.14
  6. Step 6: Final answer
    x = 2,053.55

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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.