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Finding the Fourth Proportional to 3,913.44, 5,894.58 and 3,642.96

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Solution

The fourth proportional to 3,913.44, 5,894.58 and 3,642.96 is: 5,487.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,913.44 : 5,894.58 = 3,642.96 : x
  2. Step 2: Convert to fraction form
    3,913.44/5,894.58 = 3,642.96/x
  3. Step 3: Cross multiply
    3,913.44x = 5,894.58 × 3,642.96
  4. Step 4: Simplify right side
    3,913.44x = 21,473,719.16
  5. Step 5: Solve for x
    x = 21,473,719.16/3,913.44
  6. Step 6: Final answer
    x = 5,487.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.