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Finding the Fourth Proportional to 3,646.32, 5,468.20 and 1,892.48

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Solution

The fourth proportional to 3,646.32, 5,468.20 and 1,892.48 is: 2,838.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.32 : 5,468.20 = 1,892.48 : x
  2. Step 2: Convert to fraction form
    3,646.32/5,468.20 = 1,892.48/x
  3. Step 3: Cross multiply
    3,646.32x = 5,468.20 × 1,892.48
  4. Step 4: Simplify right side
    3,646.32x = 10,348,459.14
  5. Step 5: Solve for x
    x = 10,348,459.14/3,646.32
  6. Step 6: Final answer
    x = 2,838.06

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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.