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Finding the Fourth Proportional to 5,584.56, 8,374.28 and 2,118.32

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Solution

The fourth proportional to 5,584.56, 8,374.28 and 2,118.32 is: 3,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.56 : 8,374.28 = 2,118.32 : x
  2. Step 2: Convert to fraction form
    5,584.56/8,374.28 = 2,118.32/x
  3. Step 3: Cross multiply
    5,584.56x = 8,374.28 × 2,118.32
  4. Step 4: Simplify right side
    5,584.56x = 17,739,404.81
  5. Step 5: Solve for x
    x = 17,739,404.81/5,584.56
  6. Step 6: Final answer
    x = 3,176.51

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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.