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Finding the Fourth Proportional to 5,284.36, 7,927.74 and 3,641.56

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Solution

The fourth proportional to 5,284.36, 7,927.74 and 3,641.56 is: 5,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,284.36 : 7,927.74 = 3,641.56 : x
  2. Step 2: Convert to fraction form
    5,284.36/7,927.74 = 3,641.56/x
  3. Step 3: Cross multiply
    5,284.36x = 7,927.74 × 3,641.56
  4. Step 4: Simplify right side
    5,284.36x = 28,869,340.87
  5. Step 5: Solve for x
    x = 28,869,340.87/5,284.36
  6. Step 6: Final answer
    x = 5,463.17

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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.