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Finding the Fourth Proportional to 4,797.28, 6,610.38 and 3,678.16

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Solution

The fourth proportional to 4,797.28, 6,610.38 and 3,678.16 is: 5,068.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.28 : 6,610.38 = 3,678.16 : x
  2. Step 2: Convert to fraction form
    4,797.28/6,610.38 = 3,678.16/x
  3. Step 3: Cross multiply
    4,797.28x = 6,610.38 × 3,678.16
  4. Step 4: Simplify right side
    4,797.28x = 24,314,035.30
  5. Step 5: Solve for x
    x = 24,314,035.30/4,797.28
  6. Step 6: Final answer
    x = 5,068.30

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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.