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Finding the Fourth Proportional to 3,468.63, 5,200.47 and 1,618.74

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Solution

The fourth proportional to 3,468.63, 5,200.47 and 1,618.74 is: 2,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.63 : 5,200.47 = 1,618.74 : x
  2. Step 2: Convert to fraction form
    3,468.63/5,200.47 = 1,618.74/x
  3. Step 3: Cross multiply
    3,468.63x = 5,200.47 × 1,618.74
  4. Step 4: Simplify right side
    3,468.63x = 8,418,208.81
  5. Step 5: Solve for x
    x = 8,418,208.81/3,468.63
  6. Step 6: Final answer
    x = 2,426.95

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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.