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Finding the Fourth Proportional to 3,799.64, 5,670.01 and 3,362.24

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Solution

The fourth proportional to 3,799.64, 5,670.01 and 3,362.24 is: 5,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,799.64 : 5,670.01 = 3,362.24 : x
  2. Step 2: Convert to fraction form
    3,799.64/5,670.01 = 3,362.24/x
  3. Step 3: Cross multiply
    3,799.64x = 5,670.01 × 3,362.24
  4. Step 4: Simplify right side
    3,799.64x = 19,063,934.42
  5. Step 5: Solve for x
    x = 19,063,934.42/3,799.64
  6. Step 6: Final answer
    x = 5,017.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.