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Finding the Fourth Proportional to 3,626.87, 5,429.77 and 3,071.61

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Solution

The fourth proportional to 3,626.87, 5,429.77 and 3,071.61 is: 4,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,626.87 : 5,429.77 = 3,071.61 : x
  2. Step 2: Convert to fraction form
    3,626.87/5,429.77 = 3,071.61/x
  3. Step 3: Cross multiply
    3,626.87x = 5,429.77 × 3,071.61
  4. Step 4: Simplify right side
    3,626.87x = 16,678,128.15
  5. Step 5: Solve for x
    x = 16,678,128.15/3,626.87
  6. Step 6: Final answer
    x = 4,598.50

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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.