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Finding the Fourth Proportional to 4,676.73, 6,454.45 and 3,417.15

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Solution

The fourth proportional to 4,676.73, 6,454.45 and 3,417.15 is: 4,716.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.73 : 6,454.45 = 3,417.15 : x
  2. Step 2: Convert to fraction form
    4,676.73/6,454.45 = 3,417.15/x
  3. Step 3: Cross multiply
    4,676.73x = 6,454.45 × 3,417.15
  4. Step 4: Simplify right side
    4,676.73x = 22,055,815.27
  5. Step 5: Solve for x
    x = 22,055,815.27/4,676.73
  6. Step 6: Final answer
    x = 4,716.08

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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.