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Finding the Fourth Proportional to 4,801.64, 6,626.46 and 2,705.76

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Solution

The fourth proportional to 4,801.64, 6,626.46 and 2,705.76 is: 3,734.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.64 : 6,626.46 = 2,705.76 : x
  2. Step 2: Convert to fraction form
    4,801.64/6,626.46 = 2,705.76/x
  3. Step 3: Cross multiply
    4,801.64x = 6,626.46 × 2,705.76
  4. Step 4: Simplify right side
    4,801.64x = 17,929,610.41
  5. Step 5: Solve for x
    x = 17,929,610.41/4,801.64
  6. Step 6: Final answer
    x = 3,734.06

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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.