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Finding the Fourth Proportional to 5,378.70, 8,068.11 and 1,680.66

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Solution

The fourth proportional to 5,378.70, 8,068.11 and 1,680.66 is: 2,521.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.70 : 8,068.11 = 1,680.66 : x
  2. Step 2: Convert to fraction form
    5,378.70/8,068.11 = 1,680.66/x
  3. Step 3: Cross multiply
    5,378.70x = 8,068.11 × 1,680.66
  4. Step 4: Simplify right side
    5,378.70x = 13,559,749.75
  5. Step 5: Solve for x
    x = 13,559,749.75/5,378.70
  6. Step 6: Final answer
    x = 2,521.01

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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.