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Finding the Fourth Proportional to 4,153.92, 5,730.60 and 3,032.16

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Solution

The fourth proportional to 4,153.92, 5,730.60 and 3,032.16 is: 4,183.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.92 : 5,730.60 = 3,032.16 : x
  2. Step 2: Convert to fraction form
    4,153.92/5,730.60 = 3,032.16/x
  3. Step 3: Cross multiply
    4,153.92x = 5,730.60 × 3,032.16
  4. Step 4: Simplify right side
    4,153.92x = 17,376,096.10
  5. Step 5: Solve for x
    x = 17,376,096.10/4,153.92
  6. Step 6: Final answer
    x = 4,183.06

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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.