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Finding the Fourth Proportional to 3,293.68, 4,544.76 and 1,896.16

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Solution

The fourth proportional to 3,293.68, 4,544.76 and 1,896.16 is: 2,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,293.68 : 4,544.76 = 1,896.16 : x
  2. Step 2: Convert to fraction form
    3,293.68/4,544.76 = 1,896.16/x
  3. Step 3: Cross multiply
    3,293.68x = 4,544.76 × 1,896.16
  4. Step 4: Simplify right side
    3,293.68x = 8,617,592.12
  5. Step 5: Solve for x
    x = 8,617,592.12/3,293.68
  6. Step 6: Final answer
    x = 2,616.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.