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Finding the Fourth Proportional to 3,176.70, 4,424.69 and 3,176.70

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Solution

The fourth proportional to 3,176.70, 4,424.69 and 3,176.70 is: 4,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.70 : 4,424.69 = 3,176.70 : x
  2. Step 2: Convert to fraction form
    3,176.70/4,424.69 = 3,176.70/x
  3. Step 3: Cross multiply
    3,176.70x = 4,424.69 × 3,176.70
  4. Step 4: Simplify right side
    3,176.70x = 14,055,896.84
  5. Step 5: Solve for x
    x = 14,055,896.84/3,176.70
  6. Step 6: Final answer
    x = 4,424.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.