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Finding the Fourth Proportional to 4,987.24, 6,876.00 and 4,087.67

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Solution

The fourth proportional to 4,987.24, 6,876.00 and 4,087.67 is: 5,635.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,987.24 : 6,876.00 = 4,087.67 : x
  2. Step 2: Convert to fraction form
    4,987.24/6,876.00 = 4,087.67/x
  3. Step 3: Cross multiply
    4,987.24x = 6,876.00 × 4,087.67
  4. Step 4: Simplify right side
    4,987.24x = 28,106,764.10
  5. Step 5: Solve for x
    x = 28,106,764.10/4,987.24
  6. Step 6: Final answer
    x = 5,635.74

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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.