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Finding the Fourth Proportional to 3,670.69, 5,507.79 and 2,283.66

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Solution

The fourth proportional to 3,670.69, 5,507.79 and 2,283.66 is: 3,426.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.69 : 5,507.79 = 2,283.66 : x
  2. Step 2: Convert to fraction form
    3,670.69/5,507.79 = 2,283.66/x
  3. Step 3: Cross multiply
    3,670.69x = 5,507.79 × 2,283.66
  4. Step 4: Simplify right side
    3,670.69x = 12,577,919.71
  5. Step 5: Solve for x
    x = 12,577,919.71/3,670.69
  6. Step 6: Final answer
    x = 3,426.58

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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.