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Finding the Fourth Proportional to 4,546.64, 6,822.40 and 1,949.78

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Solution

The fourth proportional to 4,546.64, 6,822.40 and 1,949.78 is: 2,925.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.64 : 6,822.40 = 1,949.78 : x
  2. Step 2: Convert to fraction form
    4,546.64/6,822.40 = 1,949.78/x
  3. Step 3: Cross multiply
    4,546.64x = 6,822.40 × 1,949.78
  4. Step 4: Simplify right side
    4,546.64x = 13,302,179.07
  5. Step 5: Solve for x
    x = 13,302,179.07/4,546.64
  6. Step 6: Final answer
    x = 2,925.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.