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Finding the Fourth Proportional to 5,689.80, 8,534.08 and 1,792.08

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Solution

The fourth proportional to 5,689.80, 8,534.08 and 1,792.08 is: 2,687.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.80 : 8,534.08 = 1,792.08 : x
  2. Step 2: Convert to fraction form
    5,689.80/8,534.08 = 1,792.08/x
  3. Step 3: Cross multiply
    5,689.80x = 8,534.08 × 1,792.08
  4. Step 4: Simplify right side
    5,689.80x = 15,293,754.09
  5. Step 5: Solve for x
    x = 15,293,754.09/5,689.80
  6. Step 6: Final answer
    x = 2,687.92

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1.5x scale

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.