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Finding the Fourth Proportional to 4,237.86, 5,848.56 and 2,374.86

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Solution

The fourth proportional to 4,237.86, 5,848.56 and 2,374.86 is: 3,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237.86 : 5,848.56 = 2,374.86 : x
  2. Step 2: Convert to fraction form
    4,237.86/5,848.56 = 2,374.86/x
  3. Step 3: Cross multiply
    4,237.86x = 5,848.56 × 2,374.86
  4. Step 4: Simplify right side
    4,237.86x = 13,889,511.20
  5. Step 5: Solve for x
    x = 13,889,511.20/4,237.86
  6. Step 6: Final answer
    x = 3,277.48

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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.