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Finding the Fourth Proportional to 5,350.62, 8,024.94 and 1,652.16

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Solution

The fourth proportional to 5,350.62, 8,024.94 and 1,652.16 is: 2,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,350.62 : 8,024.94 = 1,652.16 : x
  2. Step 2: Convert to fraction form
    5,350.62/8,024.94 = 1,652.16/x
  3. Step 3: Cross multiply
    5,350.62x = 8,024.94 × 1,652.16
  4. Step 4: Simplify right side
    5,350.62x = 13,258,484.87
  5. Step 5: Solve for x
    x = 13,258,484.87/5,350.62
  6. Step 6: Final answer
    x = 2,477.93

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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.