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Finding the Fourth Proportional to 3,717.32, 5,577.46 and 1,409

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Solution

The fourth proportional to 3,717.32, 5,577.46 and 1,409 is: 2,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.32 : 5,577.46 = 1,409 : x
  2. Step 2: Convert to fraction form
    3,717.32/5,577.46 = 1,409/x
  3. Step 3: Cross multiply
    3,717.32x = 5,577.46 × 1,409
  4. Step 4: Simplify right side
    3,717.32x = 7,858,641.14
  5. Step 5: Solve for x
    x = 7,858,641.14/3,717.32
  6. Step 6: Final answer
    x = 2,114.06

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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.