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Finding the Fourth Proportional to 5,211.08, 7,776.22 and 4,745.42

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Solution

The fourth proportional to 5,211.08, 7,776.22 and 4,745.42 is: 7,081.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.08 : 7,776.22 = 4,745.42 : x
  2. Step 2: Convert to fraction form
    5,211.08/7,776.22 = 4,745.42/x
  3. Step 3: Cross multiply
    5,211.08x = 7,776.22 × 4,745.42
  4. Step 4: Simplify right side
    5,211.08x = 36,901,429.91
  5. Step 5: Solve for x
    x = 36,901,429.91/5,211.08
  6. Step 6: Final answer
    x = 7,081.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.