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Finding the Fourth Proportional to 5,888.24, 8,820.56 and 3,546.93

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Solution

The fourth proportional to 5,888.24, 8,820.56 and 3,546.93 is: 5,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,888.24 : 8,820.56 = 3,546.93 : x
  2. Step 2: Convert to fraction form
    5,888.24/8,820.56 = 3,546.93/x
  3. Step 3: Cross multiply
    5,888.24x = 8,820.56 × 3,546.93
  4. Step 4: Simplify right side
    5,888.24x = 31,285,891.15
  5. Step 5: Solve for x
    x = 31,285,891.15/5,888.24
  6. Step 6: Final answer
    x = 5,313.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.