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Finding the Fourth Proportional to 5,921.46, 8,830.72 and 5,842.01

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Solution

The fourth proportional to 5,921.46, 8,830.72 and 5,842.01 is: 8,712.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921.46 : 8,830.72 = 5,842.01 : x
  2. Step 2: Convert to fraction form
    5,921.46/8,830.72 = 5,842.01/x
  3. Step 3: Cross multiply
    5,921.46x = 8,830.72 × 5,842.01
  4. Step 4: Simplify right side
    5,921.46x = 51,589,183.93
  5. Step 5: Solve for x
    x = 51,589,183.93/5,921.46
  6. Step 6: Final answer
    x = 8,712.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.