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Finding the Fourth Proportional to 4,237.75, 5,848.11 and 2,374.75

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Solution

The fourth proportional to 4,237.75, 5,848.11 and 2,374.75 is: 3,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.75 : 5,848.11 = 2,374.75 : x
  2. Step 2: Convert to fraction form
    4,237.75/5,848.11 = 2,374.75/x
  3. Step 3: Cross multiply
    4,237.75x = 5,848.11 × 2,374.75
  4. Step 4: Simplify right side
    4,237.75x = 13,887,799.22
  5. Step 5: Solve for x
    x = 13,887,799.22/4,237.75
  6. Step 6: Final answer
    x = 3,277.16

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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.