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Finding the Fourth Proportional to 3,454.07, 4,764.83 and 2,335.40

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Solution

The fourth proportional to 3,454.07, 4,764.83 and 2,335.40 is: 3,221.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.07 : 4,764.83 = 2,335.40 : x
  2. Step 2: Convert to fraction form
    3,454.07/4,764.83 = 2,335.40/x
  3. Step 3: Cross multiply
    3,454.07x = 4,764.83 × 2,335.40
  4. Step 4: Simplify right side
    3,454.07x = 11,127,748.48
  5. Step 5: Solve for x
    x = 11,127,748.48/3,454.07
  6. Step 6: Final answer
    x = 3,221.63

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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.