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Finding the Fourth Proportional to 3,522.83, 5,293.80 and 1,880.55

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Solution

The fourth proportional to 3,522.83, 5,293.80 and 1,880.55 is: 2,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.83 : 5,293.80 = 1,880.55 : x
  2. Step 2: Convert to fraction form
    3,522.83/5,293.80 = 1,880.55/x
  3. Step 3: Cross multiply
    3,522.83x = 5,293.80 × 1,880.55
  4. Step 4: Simplify right side
    3,522.83x = 9,955,255.59
  5. Step 5: Solve for x
    x = 9,955,255.59/3,522.83
  6. Step 6: Final answer
    x = 2,825.93

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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.