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Finding the Fourth Proportional to 4,665.62, 6,993.47 and 1,742.66

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Solution

The fourth proportional to 4,665.62, 6,993.47 and 1,742.66 is: 2,612.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,665.62 : 6,993.47 = 1,742.66 : x
  2. Step 2: Convert to fraction form
    4,665.62/6,993.47 = 1,742.66/x
  3. Step 3: Cross multiply
    4,665.62x = 6,993.47 × 1,742.66
  4. Step 4: Simplify right side
    4,665.62x = 12,187,240.43
  5. Step 5: Solve for x
    x = 12,187,240.43/4,665.62
  6. Step 6: Final answer
    x = 2,612.14

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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.