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Finding the Fourth Proportional to 3,355.32, 5,032.98 and 1,405.38

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Solution

The fourth proportional to 3,355.32, 5,032.98 and 1,405.38 is: 2,108.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,355.32 : 5,032.98 = 1,405.38 : x
  2. Step 2: Convert to fraction form
    3,355.32/5,032.98 = 1,405.38/x
  3. Step 3: Cross multiply
    3,355.32x = 5,032.98 × 1,405.38
  4. Step 4: Simplify right side
    3,355.32x = 7,073,249.43
  5. Step 5: Solve for x
    x = 7,073,249.43/3,355.32
  6. Step 6: Final answer
    x = 2,108.07

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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.