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Finding the Fourth Proportional to 5,829.75, 8,747.64 and 2,319

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Solution

The fourth proportional to 5,829.75, 8,747.64 and 2,319 is: 3,479.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.75 : 8,747.64 = 2,319 : x
  2. Step 2: Convert to fraction form
    5,829.75/8,747.64 = 2,319/x
  3. Step 3: Cross multiply
    5,829.75x = 8,747.64 × 2,319
  4. Step 4: Simplify right side
    5,829.75x = 20,285,777.16
  5. Step 5: Solve for x
    x = 20,285,777.16/5,829.75
  6. Step 6: Final answer
    x = 3,479.70

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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.