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Finding the Fourth Proportional to 5,713.63, 7,889.48 and 4,223.23

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Solution

The fourth proportional to 5,713.63, 7,889.48 and 4,223.23 is: 5,831.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.63 : 7,889.48 = 4,223.23 : x
  2. Step 2: Convert to fraction form
    5,713.63/7,889.48 = 4,223.23/x
  3. Step 3: Cross multiply
    5,713.63x = 7,889.48 × 4,223.23
  4. Step 4: Simplify right side
    5,713.63x = 33,319,088.62
  5. Step 5: Solve for x
    x = 33,319,088.62/5,713.63
  6. Step 6: Final answer
    x = 5,831.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.