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Finding the Fourth Proportional to 3,462.16, 5,192.92 and 1,410

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Solution

The fourth proportional to 3,462.16, 5,192.92 and 1,410 is: 2,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.16 : 5,192.92 = 1,410 : x
  2. Step 2: Convert to fraction form
    3,462.16/5,192.92 = 1,410/x
  3. Step 3: Cross multiply
    3,462.16x = 5,192.92 × 1,410
  4. Step 4: Simplify right side
    3,462.16x = 7,322,017.20
  5. Step 5: Solve for x
    x = 7,322,017.20/3,462.16
  6. Step 6: Final answer
    x = 2,114.87

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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.