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Finding the Fourth Proportional to 4,274.16, 6,410.52 and 2,082.32

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Solution

The fourth proportional to 4,274.16, 6,410.52 and 2,082.32 is: 3,123.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.16 : 6,410.52 = 2,082.32 : x
  2. Step 2: Convert to fraction form
    4,274.16/6,410.52 = 2,082.32/x
  3. Step 3: Cross multiply
    4,274.16x = 6,410.52 × 2,082.32
  4. Step 4: Simplify right side
    4,274.16x = 13,348,754.01
  5. Step 5: Solve for x
    x = 13,348,754.01/4,274.16
  6. Step 6: Final answer
    x = 3,123.13

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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.