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Finding the Fourth Proportional to 4,238.16, 5,849.16 and 2,374.80

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Solution

The fourth proportional to 4,238.16, 5,849.16 and 2,374.80 is: 3,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.16 : 5,849.16 = 2,374.80 : x
  2. Step 2: Convert to fraction form
    4,238.16/5,849.16 = 2,374.80/x
  3. Step 3: Cross multiply
    4,238.16x = 5,849.16 × 2,374.80
  4. Step 4: Simplify right side
    4,238.16x = 13,890,585.17
  5. Step 5: Solve for x
    x = 13,890,585.17/4,238.16
  6. Step 6: Final answer
    x = 3,277.50

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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.