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Finding the Fourth Proportional to 3,522.88, 5,254.52 and 3,319.84

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Solution

The fourth proportional to 3,522.88, 5,254.52 and 3,319.84 is: 4,951.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.88 : 5,254.52 = 3,319.84 : x
  2. Step 2: Convert to fraction form
    3,522.88/5,254.52 = 3,319.84/x
  3. Step 3: Cross multiply
    3,522.88x = 5,254.52 × 3,319.84
  4. Step 4: Simplify right side
    3,522.88x = 17,444,165.68
  5. Step 5: Solve for x
    x = 17,444,165.68/3,522.88
  6. Step 6: Final answer
    x = 4,951.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.