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Finding the Fourth Proportional to 5,266.58, 7,876.59 and 4,685.67

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Solution

The fourth proportional to 5,266.58, 7,876.59 and 4,685.67 is: 7,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.58 : 7,876.59 = 4,685.67 : x
  2. Step 2: Convert to fraction form
    5,266.58/7,876.59 = 4,685.67/x
  3. Step 3: Cross multiply
    5,266.58x = 7,876.59 × 4,685.67
  4. Step 4: Simplify right side
    5,266.58x = 36,907,101.47
  5. Step 5: Solve for x
    x = 36,907,101.47/5,266.58
  6. Step 6: Final answer
    x = 7,007.80

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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.