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Finding the Fourth Proportional to 3,799.45, 5,695.80 and 2,045.40

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Solution

The fourth proportional to 3,799.45, 5,695.80 and 2,045.40 is: 3,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.45 : 5,695.80 = 2,045.40 : x
  2. Step 2: Convert to fraction form
    3,799.45/5,695.80 = 2,045.40/x
  3. Step 3: Cross multiply
    3,799.45x = 5,695.80 × 2,045.40
  4. Step 4: Simplify right side
    3,799.45x = 11,650,189.32
  5. Step 5: Solve for x
    x = 11,650,189.32/3,799.45
  6. Step 6: Final answer
    x = 3,066.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.