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Finding the Fourth Proportional to 5,588.64, 8,382.84 and 2,125.86

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Solution

The fourth proportional to 5,588.64, 8,382.84 and 2,125.86 is: 3,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.64 : 8,382.84 = 2,125.86 : x
  2. Step 2: Convert to fraction form
    5,588.64/8,382.84 = 2,125.86/x
  3. Step 3: Cross multiply
    5,588.64x = 8,382.84 × 2,125.86
  4. Step 4: Simplify right side
    5,588.64x = 17,820,744.24
  5. Step 5: Solve for x
    x = 17,820,744.24/5,588.64
  6. Step 6: Final answer
    x = 3,188.74

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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.