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Finding the Fourth Proportional to 4,671.44, 6,446.81 and 2,782.60

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Solution

The fourth proportional to 4,671.44, 6,446.81 and 2,782.60 is: 3,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.44 : 6,446.81 = 2,782.60 : x
  2. Step 2: Convert to fraction form
    4,671.44/6,446.81 = 2,782.60/x
  3. Step 3: Cross multiply
    4,671.44x = 6,446.81 × 2,782.60
  4. Step 4: Simplify right side
    4,671.44x = 17,938,893.51
  5. Step 5: Solve for x
    x = 17,938,893.51/4,671.44
  6. Step 6: Final answer
    x = 3,840.12

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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.