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Finding the Fourth Proportional to 4,419.74, 6,632.86 and 3,564.38

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Solution

The fourth proportional to 4,419.74, 6,632.86 and 3,564.38 is: 5,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,419.74 : 6,632.86 = 3,564.38 : x
  2. Step 2: Convert to fraction form
    4,419.74/6,632.86 = 3,564.38/x
  3. Step 3: Cross multiply
    4,419.74x = 6,632.86 × 3,564.38
  4. Step 4: Simplify right side
    4,419.74x = 23,642,033.53
  5. Step 5: Solve for x
    x = 23,642,033.53/4,419.74
  6. Step 6: Final answer
    x = 5,349.19

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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.