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Finding the Fourth Proportional to 3,242.30, 4,474.35 and 1,916.10

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Solution

The fourth proportional to 3,242.30, 4,474.35 and 1,916.10 is: 2,644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.30 : 4,474.35 = 1,916.10 : x
  2. Step 2: Convert to fraction form
    3,242.30/4,474.35 = 1,916.10/x
  3. Step 3: Cross multiply
    3,242.30x = 4,474.35 × 1,916.10
  4. Step 4: Simplify right side
    3,242.30x = 8,573,302.04
  5. Step 5: Solve for x
    x = 8,573,302.04/3,242.30
  6. Step 6: Final answer
    x = 2,644.21

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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.