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Finding the Fourth Proportional to 3,598.59, 5,396.59 and 1,257.96

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Solution

The fourth proportional to 3,598.59, 5,396.59 and 1,257.96 is: 1,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.59 : 5,396.59 = 1,257.96 : x
  2. Step 2: Convert to fraction form
    3,598.59/5,396.59 = 1,257.96/x
  3. Step 3: Cross multiply
    3,598.59x = 5,396.59 × 1,257.96
  4. Step 4: Simplify right side
    3,598.59x = 6,788,716.17
  5. Step 5: Solve for x
    x = 6,788,716.17/3,598.59
  6. Step 6: Final answer
    x = 1,886.49

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Why These Related Problems?

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