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Finding the Fourth Proportional to 3,670.67, 5,504.63 and 1,330.10

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Solution

The fourth proportional to 3,670.67, 5,504.63 and 1,330.10 is: 1,994.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.67 : 5,504.63 = 1,330.10 : x
  2. Step 2: Convert to fraction form
    3,670.67/5,504.63 = 1,330.10/x
  3. Step 3: Cross multiply
    3,670.67x = 5,504.63 × 1,330.10
  4. Step 4: Simplify right side
    3,670.67x = 7,321,708.36
  5. Step 5: Solve for x
    x = 7,321,708.36/3,670.67
  6. Step 6: Final answer
    x = 1,994.65

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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.