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Finding the Fourth Proportional to 4,282.60, 5,905.74 and 2,917.48

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Solution

The fourth proportional to 4,282.60, 5,905.74 and 2,917.48 is: 4,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.60 : 5,905.74 = 2,917.48 : x
  2. Step 2: Convert to fraction form
    4,282.60/5,905.74 = 2,917.48/x
  3. Step 3: Cross multiply
    4,282.60x = 5,905.74 × 2,917.48
  4. Step 4: Simplify right side
    4,282.60x = 17,229,878.34
  5. Step 5: Solve for x
    x = 17,229,878.34/4,282.60
  6. Step 6: Final answer
    x = 4,023.23

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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.