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Finding the Fourth Proportional to 5,220.70, 7,831.01 and 4,187.18

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Solution

The fourth proportional to 5,220.70, 7,831.01 and 4,187.18 is: 6,280.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.70 : 7,831.01 = 4,187.18 : x
  2. Step 2: Convert to fraction form
    5,220.70/7,831.01 = 4,187.18/x
  3. Step 3: Cross multiply
    5,220.70x = 7,831.01 × 4,187.18
  4. Step 4: Simplify right side
    5,220.70x = 32,789,878.50
  5. Step 5: Solve for x
    x = 32,789,878.50/5,220.70
  6. Step 6: Final answer
    x = 6,280.75

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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.