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Finding the Fourth Proportional to 5,812.70, 8,718.14 and 4,831.82

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Solution

The fourth proportional to 5,812.70, 8,718.14 and 4,831.82 is: 7,246.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.70 : 8,718.14 = 4,831.82 : x
  2. Step 2: Convert to fraction form
    5,812.70/8,718.14 = 4,831.82/x
  3. Step 3: Cross multiply
    5,812.70x = 8,718.14 × 4,831.82
  4. Step 4: Simplify right side
    5,812.70x = 42,124,483.21
  5. Step 5: Solve for x
    x = 42,124,483.21/5,812.70
  6. Step 6: Final answer
    x = 7,246.97

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Why These Related Problems?

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