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Finding the Fourth Proportional to 3,670.58, 5,506.18 and 1,172.14

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Solution

The fourth proportional to 3,670.58, 5,506.18 and 1,172.14 is: 1,758.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.58 : 5,506.18 = 1,172.14 : x
  2. Step 2: Convert to fraction form
    3,670.58/5,506.18 = 1,172.14/x
  3. Step 3: Cross multiply
    3,670.58x = 5,506.18 × 1,172.14
  4. Step 4: Simplify right side
    3,670.58x = 6,453,997.13
  5. Step 5: Solve for x
    x = 6,453,997.13/3,670.58
  6. Step 6: Final answer
    x = 1,758.30

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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.