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Finding the Fourth Proportional to 4,616.52, 6,919.02 and 2,308.68

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Solution

The fourth proportional to 4,616.52, 6,919.02 and 2,308.68 is: 3,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.52 : 6,919.02 = 2,308.68 : x
  2. Step 2: Convert to fraction form
    4,616.52/6,919.02 = 2,308.68/x
  3. Step 3: Cross multiply
    4,616.52x = 6,919.02 × 2,308.68
  4. Step 4: Simplify right side
    4,616.52x = 15,973,803.09
  5. Step 5: Solve for x
    x = 15,973,803.09/4,616.52
  6. Step 6: Final answer
    x = 3,460.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.