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Finding the Fourth Proportional to 4,943.16, 7,405.43 and 3,842.17

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Solution

The fourth proportional to 4,943.16, 7,405.43 and 3,842.17 is: 5,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,943.16 : 7,405.43 = 3,842.17 : x
  2. Step 2: Convert to fraction form
    4,943.16/7,405.43 = 3,842.17/x
  3. Step 3: Cross multiply
    4,943.16x = 7,405.43 × 3,842.17
  4. Step 4: Simplify right side
    4,943.16x = 28,452,883.26
  5. Step 5: Solve for x
    x = 28,452,883.26/4,943.16
  6. Step 6: Final answer
    x = 5,756.01

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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.