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Finding the Fourth Proportional to 4,293.65, 5,928.08 and 3,297.14

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Solution

The fourth proportional to 4,293.65, 5,928.08 and 3,297.14 is: 4,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,293.65 : 5,928.08 = 3,297.14 : x
  2. Step 2: Convert to fraction form
    4,293.65/5,928.08 = 3,297.14/x
  3. Step 3: Cross multiply
    4,293.65x = 5,928.08 × 3,297.14
  4. Step 4: Simplify right side
    4,293.65x = 19,545,663.57
  5. Step 5: Solve for x
    x = 19,545,663.57/4,293.65
  6. Step 6: Final answer
    x = 4,552.23

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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.