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Finding the Fourth Proportional to 5,689.74, 8,564.81 and 4,057.58

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Solution

The fourth proportional to 5,689.74, 8,564.81 and 4,057.58 is: 6,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.74 : 8,564.81 = 4,057.58 : x
  2. Step 2: Convert to fraction form
    5,689.74/8,564.81 = 4,057.58/x
  3. Step 3: Cross multiply
    5,689.74x = 8,564.81 × 4,057.58
  4. Step 4: Simplify right side
    5,689.74x = 34,752,381.47
  5. Step 5: Solve for x
    x = 34,752,381.47/5,689.74
  6. Step 6: Final answer
    x = 6,107.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.