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Finding the Fourth Proportional to 5,672.24, 7,831.56 and 4,626.80

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Solution

The fourth proportional to 5,672.24, 7,831.56 and 4,626.80 is: 6,388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.24 : 7,831.56 = 4,626.80 : x
  2. Step 2: Convert to fraction form
    5,672.24/7,831.56 = 4,626.80/x
  3. Step 3: Cross multiply
    5,672.24x = 7,831.56 × 4,626.80
  4. Step 4: Simplify right side
    5,672.24x = 36,235,061.81
  5. Step 5: Solve for x
    x = 36,235,061.81/5,672.24
  6. Step 6: Final answer
    x = 6,388.14

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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.