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Finding the Fourth Proportional to 5,812.76, 8,024.46 and 3,959.48

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Solution

The fourth proportional to 5,812.76, 8,024.46 and 3,959.48 is: 5,466.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.76 : 8,024.46 = 3,959.48 : x
  2. Step 2: Convert to fraction form
    5,812.76/8,024.46 = 3,959.48/x
  3. Step 3: Cross multiply
    5,812.76x = 8,024.46 × 3,959.48
  4. Step 4: Simplify right side
    5,812.76x = 31,772,688.88
  5. Step 5: Solve for x
    x = 31,772,688.88/5,812.76
  6. Step 6: Final answer
    x = 5,466.02

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1.5x scale

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.