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Finding the Fourth Proportional to 3,496.62, 5,246.10 and 1,417.08

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Solution

The fourth proportional to 3,496.62, 5,246.10 and 1,417.08 is: 2,126.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.62 : 5,246.10 = 1,417.08 : x
  2. Step 2: Convert to fraction form
    3,496.62/5,246.10 = 1,417.08/x
  3. Step 3: Cross multiply
    3,496.62x = 5,246.10 × 1,417.08
  4. Step 4: Simplify right side
    3,496.62x = 7,434,143.39
  5. Step 5: Solve for x
    x = 7,434,143.39/3,496.62
  6. Step 6: Final answer
    x = 2,126.09

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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.