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Finding the Fourth Proportional to 3,458.66, 5,188.64 and 1,484.29

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Solution

The fourth proportional to 3,458.66, 5,188.64 and 1,484.29 is: 2,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.66 : 5,188.64 = 1,484.29 : x
  2. Step 2: Convert to fraction form
    3,458.66/5,188.64 = 1,484.29/x
  3. Step 3: Cross multiply
    3,458.66x = 5,188.64 × 1,484.29
  4. Step 4: Simplify right side
    3,458.66x = 7,701,446.47
  5. Step 5: Solve for x
    x = 7,701,446.47/3,458.66
  6. Step 6: Final answer
    x = 2,226.71

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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.