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Finding the Fourth Proportional to 3,840.50, 5,298.94 and 2,347.87

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Solution

The fourth proportional to 3,840.50, 5,298.94 and 2,347.87 is: 3,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.50 : 5,298.94 = 2,347.87 : x
  2. Step 2: Convert to fraction form
    3,840.50/5,298.94 = 2,347.87/x
  3. Step 3: Cross multiply
    3,840.50x = 5,298.94 × 2,347.87
  4. Step 4: Simplify right side
    3,840.50x = 12,441,203.14
  5. Step 5: Solve for x
    x = 12,441,203.14/3,840.50
  6. Step 6: Final answer
    x = 3,239.48

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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.