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Finding the Fourth Proportional to 3,671.58, 5,507.68 and 1,173.14

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Solution

The fourth proportional to 3,671.58, 5,507.68 and 1,173.14 is: 1,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.58 : 5,507.68 = 1,173.14 : x
  2. Step 2: Convert to fraction form
    3,671.58/5,507.68 = 1,173.14/x
  3. Step 3: Cross multiply
    3,671.58x = 5,507.68 × 1,173.14
  4. Step 4: Simplify right side
    3,671.58x = 6,461,279.72
  5. Step 5: Solve for x
    x = 6,461,279.72/3,671.58
  6. Step 6: Final answer
    x = 1,759.81

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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.