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Finding the Fourth Proportional to 3,838.42, 5,293.50 and 2,846.17

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Solution

The fourth proportional to 3,838.42, 5,293.50 and 2,846.17 is: 3,925.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.42 : 5,293.50 = 2,846.17 : x
  2. Step 2: Convert to fraction form
    3,838.42/5,293.50 = 2,846.17/x
  3. Step 3: Cross multiply
    3,838.42x = 5,293.50 × 2,846.17
  4. Step 4: Simplify right side
    3,838.42x = 15,066,200.90
  5. Step 5: Solve for x
    x = 15,066,200.90/3,838.42
  6. Step 6: Final answer
    x = 3,925.10

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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.