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Finding the Fourth Proportional to 3,435.14, 5,153.07 and 1,095.32

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Solution

The fourth proportional to 3,435.14, 5,153.07 and 1,095.32 is: 1,643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.14 : 5,153.07 = 1,095.32 : x
  2. Step 2: Convert to fraction form
    3,435.14/5,153.07 = 1,095.32/x
  3. Step 3: Cross multiply
    3,435.14x = 5,153.07 × 1,095.32
  4. Step 4: Simplify right side
    3,435.14x = 5,644,260.63
  5. Step 5: Solve for x
    x = 5,644,260.63/3,435.14
  6. Step 6: Final answer
    x = 1,643.09

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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.