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Finding the Fourth Proportional to 5,834.48, 8,051.16 and 3,477.44

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Solution

The fourth proportional to 5,834.48, 8,051.16 and 3,477.44 is: 4,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.48 : 8,051.16 = 3,477.44 : x
  2. Step 2: Convert to fraction form
    5,834.48/8,051.16 = 3,477.44/x
  3. Step 3: Cross multiply
    5,834.48x = 8,051.16 × 3,477.44
  4. Step 4: Simplify right side
    5,834.48x = 27,997,425.83
  5. Step 5: Solve for x
    x = 27,997,425.83/5,834.48
  6. Step 6: Final answer
    x = 4,798.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.