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Finding the Fourth Proportional to 5,669.43, 8,504.12 and 1,509.43

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Solution

The fourth proportional to 5,669.43, 8,504.12 and 1,509.43 is: 2,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.43 : 8,504.12 = 1,509.43 : x
  2. Step 2: Convert to fraction form
    5,669.43/8,504.12 = 1,509.43/x
  3. Step 3: Cross multiply
    5,669.43x = 8,504.12 × 1,509.43
  4. Step 4: Simplify right side
    5,669.43x = 12,836,323.78
  5. Step 5: Solve for x
    x = 12,836,323.78/5,669.43
  6. Step 6: Final answer
    x = 2,264.13

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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.