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Finding the Fourth Proportional to 5,922.24, 8,188.28 and 5,828.69

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Solution

The fourth proportional to 5,922.24, 8,188.28 and 5,828.69 is: 8,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.24 : 8,188.28 = 5,828.69 : x
  2. Step 2: Convert to fraction form
    5,922.24/8,188.28 = 5,828.69/x
  3. Step 3: Cross multiply
    5,922.24x = 8,188.28 × 5,828.69
  4. Step 4: Simplify right side
    5,922.24x = 47,726,875.67
  5. Step 5: Solve for x
    x = 47,726,875.67/5,922.24
  6. Step 6: Final answer
    x = 8,058.92

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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.