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Finding the Fourth Proportional to 5,888.26, 8,831.34 and 3,427.90

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Solution

The fourth proportional to 5,888.26, 8,831.34 and 3,427.90 is: 5,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.26 : 8,831.34 = 3,427.90 : x
  2. Step 2: Convert to fraction form
    5,888.26/8,831.34 = 3,427.90/x
  3. Step 3: Cross multiply
    5,888.26x = 8,831.34 × 3,427.90
  4. Step 4: Simplify right side
    5,888.26x = 30,272,950.39
  5. Step 5: Solve for x
    x = 30,272,950.39/5,888.26
  6. Step 6: Final answer
    x = 5,141.24

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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.