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Finding the Fourth Proportional to 4,800.05, 7,187.77 and 4,061.94

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Solution

The fourth proportional to 4,800.05, 7,187.77 and 4,061.94 is: 6,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,800.05 : 7,187.77 = 4,061.94 : x
  2. Step 2: Convert to fraction form
    4,800.05/7,187.77 = 4,061.94/x
  3. Step 3: Cross multiply
    4,800.05x = 7,187.77 × 4,061.94
  4. Step 4: Simplify right side
    4,800.05x = 29,196,290.47
  5. Step 5: Solve for x
    x = 29,196,290.47/4,800.05
  6. Step 6: Final answer
    x = 6,082.50

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Why These Related Problems?

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