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Finding the Fourth Proportional to 5,831.96, 8,048.13 and 3,737.30

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Solution

The fourth proportional to 5,831.96, 8,048.13 and 3,737.30 is: 5,157.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.96 : 8,048.13 = 3,737.30 : x
  2. Step 2: Convert to fraction form
    5,831.96/8,048.13 = 3,737.30/x
  3. Step 3: Cross multiply
    5,831.96x = 8,048.13 × 3,737.30
  4. Step 4: Simplify right side
    5,831.96x = 30,078,276.25
  5. Step 5: Solve for x
    x = 30,078,276.25/5,831.96
  6. Step 6: Final answer
    x = 5,157.49

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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.