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Finding the Fourth Proportional to 3,509.64, 5,264.45 and 1,429.19

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Solution

The fourth proportional to 3,509.64, 5,264.45 and 1,429.19 is: 2,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.64 : 5,264.45 = 1,429.19 : x
  2. Step 2: Convert to fraction form
    3,509.64/5,264.45 = 1,429.19/x
  3. Step 3: Cross multiply
    3,509.64x = 5,264.45 × 1,429.19
  4. Step 4: Simplify right side
    3,509.64x = 7,523,878.33
  5. Step 5: Solve for x
    x = 7,523,878.33/3,509.64
  6. Step 6: Final answer
    x = 2,143.77

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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.