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Finding the Fourth Proportional to 4,798.05, 7,184.77 and 4,059.94

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Solution

The fourth proportional to 4,798.05, 7,184.77 and 4,059.94 is: 6,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,798.05 : 7,184.77 = 4,059.94 : x
  2. Step 2: Convert to fraction form
    4,798.05/7,184.77 = 4,059.94/x
  3. Step 3: Cross multiply
    4,798.05x = 7,184.77 × 4,059.94
  4. Step 4: Simplify right side
    4,798.05x = 29,169,735.11
  5. Step 5: Solve for x
    x = 29,169,735.11/4,798.05
  6. Step 6: Final answer
    x = 6,079.50

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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.