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Finding the Fourth Proportional to 3,679.84, 5,516.65 and 1,598.28

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Solution

The fourth proportional to 3,679.84, 5,516.65 and 1,598.28 is: 2,396.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.84 : 5,516.65 = 1,598.28 : x
  2. Step 2: Convert to fraction form
    3,679.84/5,516.65 = 1,598.28/x
  3. Step 3: Cross multiply
    3,679.84x = 5,516.65 × 1,598.28
  4. Step 4: Simplify right side
    3,679.84x = 8,817,115.79
  5. Step 5: Solve for x
    x = 8,817,115.79/3,679.84
  6. Step 6: Final answer
    x = 2,396.06

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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.