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Finding the Fourth Proportional to 5,831.30, 8,031.21 and 5,723.30

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Solution

The fourth proportional to 5,831.30, 8,031.21 and 5,723.30 is: 7,882.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,831.30 : 8,031.21 = 5,723.30 : x
  2. Step 2: Convert to fraction form
    5,831.30/8,031.21 = 5,723.30/x
  3. Step 3: Cross multiply
    5,831.30x = 8,031.21 × 5,723.30
  4. Step 4: Simplify right side
    5,831.30x = 45,965,024.19
  5. Step 5: Solve for x
    x = 45,965,024.19/5,831.30
  6. Step 6: Final answer
    x = 7,882.47

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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.