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Finding the Fourth Proportional to 3,607.74, 5,409.18 and 1,759.32

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Solution

The fourth proportional to 3,607.74, 5,409.18 and 1,759.32 is: 2,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.74 : 5,409.18 = 1,759.32 : x
  2. Step 2: Convert to fraction form
    3,607.74/5,409.18 = 1,759.32/x
  3. Step 3: Cross multiply
    3,607.74x = 5,409.18 × 1,759.32
  4. Step 4: Simplify right side
    3,607.74x = 9,516,478.56
  5. Step 5: Solve for x
    x = 9,516,478.56/3,607.74
  6. Step 6: Final answer
    x = 2,637.80

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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.