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Finding the Fourth Proportional to 5,087.88, 7,630.38 and 2,313

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Solution

The fourth proportional to 5,087.88, 7,630.38 and 2,313 is: 3,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.88 : 7,630.38 = 2,313 : x
  2. Step 2: Convert to fraction form
    5,087.88/7,630.38 = 2,313/x
  3. Step 3: Cross multiply
    5,087.88x = 7,630.38 × 2,313
  4. Step 4: Simplify right side
    5,087.88x = 17,649,068.94
  5. Step 5: Solve for x
    x = 17,649,068.94/5,087.88
  6. Step 6: Final answer
    x = 3,468.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.