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Finding the Fourth Proportional to 3,508.45, 5,264.49 and 1,429.99

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Solution

The fourth proportional to 3,508.45, 5,264.49 and 1,429.99 is: 2,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.45 : 5,264.49 = 1,429.99 : x
  2. Step 2: Convert to fraction form
    3,508.45/5,264.49 = 1,429.99/x
  3. Step 3: Cross multiply
    3,508.45x = 5,264.49 × 1,429.99
  4. Step 4: Simplify right side
    3,508.45x = 7,528,168.06
  5. Step 5: Solve for x
    x = 7,528,168.06/3,508.45
  6. Step 6: Final answer
    x = 2,145.72

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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.