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Finding the Fourth Proportional to 3,435.66, 5,153.46 and 1,127.16

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Solution

The fourth proportional to 3,435.66, 5,153.46 and 1,127.16 is: 1,690.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.66 : 5,153.46 = 1,127.16 : x
  2. Step 2: Convert to fraction form
    3,435.66/5,153.46 = 1,127.16/x
  3. Step 3: Cross multiply
    3,435.66x = 5,153.46 × 1,127.16
  4. Step 4: Simplify right side
    3,435.66x = 5,808,773.97
  5. Step 5: Solve for x
    x = 5,808,773.97/3,435.66
  6. Step 6: Final answer
    x = 1,690.73

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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.