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Finding the Fourth Proportional to 5,188.32, 7,782.21 and 2,068.20

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Solution

The fourth proportional to 5,188.32, 7,782.21 and 2,068.20 is: 3,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.32 : 7,782.21 = 2,068.20 : x
  2. Step 2: Convert to fraction form
    5,188.32/7,782.21 = 2,068.20/x
  3. Step 3: Cross multiply
    5,188.32x = 7,782.21 × 2,068.20
  4. Step 4: Simplify right side
    5,188.32x = 16,095,166.72
  5. Step 5: Solve for x
    x = 16,095,166.72/5,188.32
  6. Step 6: Final answer
    x = 3,102.19

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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.