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Finding the Fourth Proportional to 4,166.76, 5,750.62 and 2,398.34

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Solution

The fourth proportional to 4,166.76, 5,750.62 and 2,398.34 is: 3,309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.76 : 5,750.62 = 2,398.34 : x
  2. Step 2: Convert to fraction form
    4,166.76/5,750.62 = 2,398.34/x
  3. Step 3: Cross multiply
    4,166.76x = 5,750.62 × 2,398.34
  4. Step 4: Simplify right side
    4,166.76x = 13,791,941.97
  5. Step 5: Solve for x
    x = 13,791,941.97/4,166.76
  6. Step 6: Final answer
    x = 3,309.99

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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.