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Finding the Fourth Proportional to 5,830.75, 8,749.14 and 2,320

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Solution

The fourth proportional to 5,830.75, 8,749.14 and 2,320 is: 3,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.75 : 8,749.14 = 2,320 : x
  2. Step 2: Convert to fraction form
    5,830.75/8,749.14 = 2,320/x
  3. Step 3: Cross multiply
    5,830.75x = 8,749.14 × 2,320
  4. Step 4: Simplify right side
    5,830.75x = 20,298,004.80
  5. Step 5: Solve for x
    x = 20,298,004.80/5,830.75
  6. Step 6: Final answer
    x = 3,481.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.