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Finding the Fourth Proportional to 5,212.08, 7,777.71 and 4,746.42

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Solution

The fourth proportional to 5,212.08, 7,777.71 and 4,746.42 is: 7,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.08 : 7,777.71 = 4,746.42 : x
  2. Step 2: Convert to fraction form
    5,212.08/7,777.71 = 4,746.42/x
  3. Step 3: Cross multiply
    5,212.08x = 7,777.71 × 4,746.42
  4. Step 4: Simplify right side
    5,212.08x = 36,916,278.30
  5. Step 5: Solve for x
    x = 36,916,278.30/5,212.08
  6. Step 6: Final answer
    x = 7,082.83

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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.