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Finding the Fourth Proportional to 3,404.57, 4,696.70 and 2,912.50

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Solution

The fourth proportional to 3,404.57, 4,696.70 and 2,912.50 is: 4,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.57 : 4,696.70 = 2,912.50 : x
  2. Step 2: Convert to fraction form
    3,404.57/4,696.70 = 2,912.50/x
  3. Step 3: Cross multiply
    3,404.57x = 4,696.70 × 2,912.50
  4. Step 4: Simplify right side
    3,404.57x = 13,679,134.29
  5. Step 5: Solve for x
    x = 13,679,134.29/3,404.57
  6. Step 6: Final answer
    x = 4,017.87

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