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Finding the Fourth Proportional to 5,830.24, 8,741.22 and 1,880.28

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Solution

The fourth proportional to 5,830.24, 8,741.22 and 1,880.28 is: 2,819.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.24 : 8,741.22 = 1,880.28 : x
  2. Step 2: Convert to fraction form
    5,830.24/8,741.22 = 1,880.28/x
  3. Step 3: Cross multiply
    5,830.24x = 8,741.22 × 1,880.28
  4. Step 4: Simplify right side
    5,830.24x = 16,435,897.44
  5. Step 5: Solve for x
    x = 16,435,897.44/5,830.24
  6. Step 6: Final answer
    x = 2,819.08

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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.