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Finding the Fourth Proportional to 4,677.45, 6,454.72 and 2,788.06

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Solution

The fourth proportional to 4,677.45, 6,454.72 and 2,788.06 is: 3,847.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.45 : 6,454.72 = 2,788.06 : x
  2. Step 2: Convert to fraction form
    4,677.45/6,454.72 = 2,788.06/x
  3. Step 3: Cross multiply
    4,677.45x = 6,454.72 × 2,788.06
  4. Step 4: Simplify right side
    4,677.45x = 17,996,134.54
  5. Step 5: Solve for x
    x = 17,996,134.54/4,677.45
  6. Step 6: Final answer
    x = 3,847.42

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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.