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Finding the Fourth Proportional to 4,077.50, 5,626.89 and 2,214.50

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Solution

The fourth proportional to 4,077.50, 5,626.89 and 2,214.50 is: 3,055.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,077.50 : 5,626.89 = 2,214.50 : x
  2. Step 2: Convert to fraction form
    4,077.50/5,626.89 = 2,214.50/x
  3. Step 3: Cross multiply
    4,077.50x = 5,626.89 × 2,214.50
  4. Step 4: Simplify right side
    4,077.50x = 12,460,747.91
  5. Step 5: Solve for x
    x = 12,460,747.91/4,077.50
  6. Step 6: Final answer
    x = 3,055.98

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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.