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Finding the Fourth Proportional to 4,963.60, 7,445.44 and 1,885.60

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Solution

The fourth proportional to 4,963.60, 7,445.44 and 1,885.60 is: 2,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.60 : 7,445.44 = 1,885.60 : x
  2. Step 2: Convert to fraction form
    4,963.60/7,445.44 = 1,885.60/x
  3. Step 3: Cross multiply
    4,963.60x = 7,445.44 × 1,885.60
  4. Step 4: Simplify right side
    4,963.60x = 14,039,121.66
  5. Step 5: Solve for x
    x = 14,039,121.66/4,963.60
  6. Step 6: Final answer
    x = 2,828.42

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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.