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Finding the Fourth Proportional to 3,818.61, 5,725.42 and 1,598.49

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Solution

The fourth proportional to 3,818.61, 5,725.42 and 1,598.49 is: 2,396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.61 : 5,725.42 = 1,598.49 : x
  2. Step 2: Convert to fraction form
    3,818.61/5,725.42 = 1,598.49/x
  3. Step 3: Cross multiply
    3,818.61x = 5,725.42 × 1,598.49
  4. Step 4: Simplify right side
    3,818.61x = 9,152,022.62
  5. Step 5: Solve for x
    x = 9,152,022.62/3,818.61
  6. Step 6: Final answer
    x = 2,396.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.