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Finding the Fourth Proportional to 4,280.09, 5,906.48 and 2,417.09

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Solution

The fourth proportional to 4,280.09, 5,906.48 and 2,417.09 is: 3,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.09 : 5,906.48 = 2,417.09 : x
  2. Step 2: Convert to fraction form
    4,280.09/5,906.48 = 2,417.09/x
  3. Step 3: Cross multiply
    4,280.09x = 5,906.48 × 2,417.09
  4. Step 4: Simplify right side
    4,280.09x = 14,276,452.13
  5. Step 5: Solve for x
    x = 14,276,452.13/4,280.09
  6. Step 6: Final answer
    x = 3,335.55

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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.