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Finding the Fourth Proportional to 3,870.75, 5,342.36 and 2,214.75

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Solution

The fourth proportional to 3,870.75, 5,342.36 and 2,214.75 is: 3,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.75 : 5,342.36 = 2,214.75 : x
  2. Step 2: Convert to fraction form
    3,870.75/5,342.36 = 2,214.75/x
  3. Step 3: Cross multiply
    3,870.75x = 5,342.36 × 2,214.75
  4. Step 4: Simplify right side
    3,870.75x = 11,831,980.74
  5. Step 5: Solve for x
    x = 11,831,980.74/3,870.75
  6. Step 6: Final answer
    x = 3,056.77

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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.