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Finding the Fourth Proportional to 5,830.52, 8,731.53 and 3,059.54

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Solution

The fourth proportional to 5,830.52, 8,731.53 and 3,059.54 is: 4,581.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.52 : 8,731.53 = 3,059.54 : x
  2. Step 2: Convert to fraction form
    5,830.52/8,731.53 = 3,059.54/x
  3. Step 3: Cross multiply
    5,830.52x = 8,731.53 × 3,059.54
  4. Step 4: Simplify right side
    5,830.52x = 26,714,465.30
  5. Step 5: Solve for x
    x = 26,714,465.30/5,830.52
  6. Step 6: Final answer
    x = 4,581.83

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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.