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Finding the Fourth Proportional to 5,254.90, 7,882.35 and 4,606.90

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Solution

The fourth proportional to 5,254.90, 7,882.35 and 4,606.90 is: 6,910.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.90 : 7,882.35 = 4,606.90 : x
  2. Step 2: Convert to fraction form
    5,254.90/7,882.35 = 4,606.90/x
  3. Step 3: Cross multiply
    5,254.90x = 7,882.35 × 4,606.90
  4. Step 4: Simplify right side
    5,254.90x = 36,313,198.22
  5. Step 5: Solve for x
    x = 36,313,198.22/5,254.90
  6. Step 6: Final answer
    x = 6,910.35

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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.