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Finding the Fourth Proportional to 4,166.95, 5,740.62 and 2,905.72

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Solution

The fourth proportional to 4,166.95, 5,740.62 and 2,905.72 is: 4,003.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.95 : 5,740.62 = 2,905.72 : x
  2. Step 2: Convert to fraction form
    4,166.95/5,740.62 = 2,905.72/x
  3. Step 3: Cross multiply
    4,166.95x = 5,740.62 × 2,905.72
  4. Step 4: Simplify right side
    4,166.95x = 16,680,634.35
  5. Step 5: Solve for x
    x = 16,680,634.35/4,166.95
  6. Step 6: Final answer
    x = 4,003.08

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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.