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Finding the Fourth Proportional to 3,410.32, 5,115.84 and 1,102

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Solution

The fourth proportional to 3,410.32, 5,115.84 and 1,102 is: 1,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.32 : 5,115.84 = 1,102 : x
  2. Step 2: Convert to fraction form
    3,410.32/5,115.84 = 1,102/x
  3. Step 3: Cross multiply
    3,410.32x = 5,115.84 × 1,102
  4. Step 4: Simplify right side
    3,410.32x = 5,637,655.68
  5. Step 5: Solve for x
    x = 5,637,655.68/3,410.32
  6. Step 6: Final answer
    x = 1,653.12

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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.