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Finding the Fourth Proportional to 4,077.56, 5,627.14 and 2,214.56

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Solution

The fourth proportional to 4,077.56, 5,627.14 and 2,214.56 is: 3,056.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.56 : 5,627.14 = 2,214.56 : x
  2. Step 2: Convert to fraction form
    4,077.56/5,627.14 = 2,214.56/x
  3. Step 3: Cross multiply
    4,077.56x = 5,627.14 × 2,214.56
  4. Step 4: Simplify right side
    4,077.56x = 12,461,647.69
  5. Step 5: Solve for x
    x = 12,461,647.69/4,077.56
  6. Step 6: Final answer
    x = 3,056.15

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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.