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Finding the Fourth Proportional to 3,522.76, 5,284.14 and 1,573.59

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Solution

The fourth proportional to 3,522.76, 5,284.14 and 1,573.59 is: 2,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.76 : 5,284.14 = 1,573.59 : x
  2. Step 2: Convert to fraction form
    3,522.76/5,284.14 = 1,573.59/x
  3. Step 3: Cross multiply
    3,522.76x = 5,284.14 × 1,573.59
  4. Step 4: Simplify right side
    3,522.76x = 8,315,083.78
  5. Step 5: Solve for x
    x = 8,315,083.78/3,522.76
  6. Step 6: Final answer
    x = 2,360.39

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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.