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Finding the Fourth Proportional to 5,188.76, 7,782.86 and 1,678.70

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Solution

The fourth proportional to 5,188.76, 7,782.86 and 1,678.70 is: 2,517.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.76 : 7,782.86 = 1,678.70 : x
  2. Step 2: Convert to fraction form
    5,188.76/7,782.86 = 1,678.70/x
  3. Step 3: Cross multiply
    5,188.76x = 7,782.86 × 1,678.70
  4. Step 4: Simplify right side
    5,188.76x = 13,065,087.08
  5. Step 5: Solve for x
    x = 13,065,087.08/5,188.76
  6. Step 6: Final answer
    x = 2,517.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.