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Finding the Fourth Proportional to 4,145.94, 5,729.58 and 3,398.70

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Solution

The fourth proportional to 4,145.94, 5,729.58 and 3,398.70 is: 4,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.94 : 5,729.58 = 3,398.70 : x
  2. Step 2: Convert to fraction form
    4,145.94/5,729.58 = 3,398.70/x
  3. Step 3: Cross multiply
    4,145.94x = 5,729.58 × 3,398.70
  4. Step 4: Simplify right side
    4,145.94x = 19,473,123.55
  5. Step 5: Solve for x
    x = 19,473,123.55/4,145.94
  6. Step 6: Final answer
    x = 4,696.91

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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.