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Finding the Fourth Proportional to 4,677.78, 6,453.60 and 2,789.40

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Solution

The fourth proportional to 4,677.78, 6,453.60 and 2,789.40 is: 3,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.78 : 6,453.60 = 2,789.40 : x
  2. Step 2: Convert to fraction form
    4,677.78/6,453.60 = 2,789.40/x
  3. Step 3: Cross multiply
    4,677.78x = 6,453.60 × 2,789.40
  4. Step 4: Simplify right side
    4,677.78x = 18,001,671.84
  5. Step 5: Solve for x
    x = 18,001,671.84/4,677.78
  6. Step 6: Final answer
    x = 3,848.34

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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.