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Finding the Fourth Proportional to 5,584.40, 8,382.36 and 4,184

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Solution

The fourth proportional to 5,584.40, 8,382.36 and 4,184 is: 6,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.40 : 8,382.36 = 4,184 : x
  2. Step 2: Convert to fraction form
    5,584.40/8,382.36 = 4,184/x
  3. Step 3: Cross multiply
    5,584.40x = 8,382.36 × 4,184
  4. Step 4: Simplify right side
    5,584.40x = 35,071,794.24
  5. Step 5: Solve for x
    x = 35,071,794.24/5,584.40
  6. Step 6: Final answer
    x = 6,280.32

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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.