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Finding the Fourth Proportional to 4,546.45, 6,277.22 and 3,482.34

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Solution

The fourth proportional to 4,546.45, 6,277.22 and 3,482.34 is: 4,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.45 : 6,277.22 = 3,482.34 : x
  2. Step 2: Convert to fraction form
    4,546.45/6,277.22 = 3,482.34/x
  3. Step 3: Cross multiply
    4,546.45x = 6,277.22 × 3,482.34
  4. Step 4: Simplify right side
    4,546.45x = 21,859,414.29
  5. Step 5: Solve for x
    x = 21,859,414.29/4,546.45
  6. Step 6: Final answer
    x = 4,808.02

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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.