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Finding the Fourth Proportional to 5,012.88, 6,914.76 and 3,690

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Solution

The fourth proportional to 5,012.88, 6,914.76 and 3,690 is: 5,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,012.88 : 6,914.76 = 3,690 : x
  2. Step 2: Convert to fraction form
    5,012.88/6,914.76 = 3,690/x
  3. Step 3: Cross multiply
    5,012.88x = 6,914.76 × 3,690
  4. Step 4: Simplify right side
    5,012.88x = 25,515,464.40
  5. Step 5: Solve for x
    x = 25,515,464.40/5,012.88
  6. Step 6: Final answer
    x = 5,089.98

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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.