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Finding the Fourth Proportional to 3,887.50, 5,831.45 and 3,690.66

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Solution

The fourth proportional to 3,887.50, 5,831.45 and 3,690.66 is: 5,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,887.50 : 5,831.45 = 3,690.66 : x
  2. Step 2: Convert to fraction form
    3,887.50/5,831.45 = 3,690.66/x
  3. Step 3: Cross multiply
    3,887.50x = 5,831.45 × 3,690.66
  4. Step 4: Simplify right side
    3,887.50x = 21,521,899.26
  5. Step 5: Solve for x
    x = 21,521,899.26/3,887.50
  6. Step 6: Final answer
    x = 5,536.18

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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.