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Finding the Fourth Proportional to 3,164.77, 4,367.35 and 1,748.52

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Solution

The fourth proportional to 3,164.77, 4,367.35 and 1,748.52 is: 2,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.77 : 4,367.35 = 1,748.52 : x
  2. Step 2: Convert to fraction form
    3,164.77/4,367.35 = 1,748.52/x
  3. Step 3: Cross multiply
    3,164.77x = 4,367.35 × 1,748.52
  4. Step 4: Simplify right side
    3,164.77x = 7,636,398.82
  5. Step 5: Solve for x
    x = 7,636,398.82/3,164.77
  6. Step 6: Final answer
    x = 2,412.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.