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Finding the Fourth Proportional to 3,807.50, 5,254.63 and 2,214.57

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Solution

The fourth proportional to 3,807.50, 5,254.63 and 2,214.57 is: 3,056.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.50 : 5,254.63 = 2,214.57 : x
  2. Step 2: Convert to fraction form
    3,807.50/5,254.63 = 2,214.57/x
  3. Step 3: Cross multiply
    3,807.50x = 5,254.63 × 2,214.57
  4. Step 4: Simplify right side
    3,807.50x = 11,636,745.96
  5. Step 5: Solve for x
    x = 11,636,745.96/3,807.50
  6. Step 6: Final answer
    x = 3,056.27

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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.