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Finding the Fourth Proportional to 5,689.66, 7,852.74 and 3,299.29

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Solution

The fourth proportional to 5,689.66, 7,852.74 and 3,299.29 is: 4,553.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.66 : 7,852.74 = 3,299.29 : x
  2. Step 2: Convert to fraction form
    5,689.66/7,852.74 = 3,299.29/x
  3. Step 3: Cross multiply
    5,689.66x = 7,852.74 × 3,299.29
  4. Step 4: Simplify right side
    5,689.66x = 25,908,466.55
  5. Step 5: Solve for x
    x = 25,908,466.55/5,689.66
  6. Step 6: Final answer
    x = 4,553.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.