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Finding the Fourth Proportional to 5,689.84, 7,852.92 and 4,202.06

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Solution

The fourth proportional to 5,689.84, 7,852.92 and 4,202.06 is: 5,799.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.84 : 7,852.92 = 4,202.06 : x
  2. Step 2: Convert to fraction form
    5,689.84/7,852.92 = 4,202.06/x
  3. Step 3: Cross multiply
    5,689.84x = 7,852.92 × 4,202.06
  4. Step 4: Simplify right side
    5,689.84x = 32,998,401.75
  5. Step 5: Solve for x
    x = 32,998,401.75/5,689.84
  6. Step 6: Final answer
    x = 5,799.53

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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.