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Finding the Fourth Proportional to 3,242.32, 4,474.32 and 1,916.16

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Solution

The fourth proportional to 3,242.32, 4,474.32 and 1,916.16 is: 2,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.32 : 4,474.32 = 1,916.16 : x
  2. Step 2: Convert to fraction form
    3,242.32/4,474.32 = 1,916.16/x
  3. Step 3: Cross multiply
    3,242.32x = 4,474.32 × 1,916.16
  4. Step 4: Simplify right side
    3,242.32x = 8,573,513.01
  5. Step 5: Solve for x
    x = 8,573,513.01/3,242.32
  6. Step 6: Final answer
    x = 2,644.25

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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.