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Finding the Fourth Proportional to 4,077.52, 5,627 and 2,214.52

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Solution

The fourth proportional to 4,077.52, 5,627 and 2,214.52 is: 3,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.52 : 5,627 = 2,214.52 : x
  2. Step 2: Convert to fraction form
    4,077.52/5,627 = 2,214.52/x
  3. Step 3: Cross multiply
    4,077.52x = 5,627 × 2,214.52
  4. Step 4: Simplify right side
    4,077.52x = 12,461,104.04
  5. Step 5: Solve for x
    x = 12,461,104.04/4,077.52
  6. Step 6: Final answer
    x = 3,056.05

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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.