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Finding the Fourth Proportional to 5,880.36, 8,114.04 and 3,522

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Solution

The fourth proportional to 5,880.36, 8,114.04 and 3,522 is: 4,859.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880.36 : 8,114.04 = 3,522 : x
  2. Step 2: Convert to fraction form
    5,880.36/8,114.04 = 3,522/x
  3. Step 3: Cross multiply
    5,880.36x = 8,114.04 × 3,522
  4. Step 4: Simplify right side
    5,880.36x = 28,577,648.88
  5. Step 5: Solve for x
    x = 28,577,648.88/5,880.36
  6. Step 6: Final answer
    x = 4,859.85

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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.