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Finding the Fourth Proportional to 5,630.76, 7,770.36 and 3,113.07

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Solution

The fourth proportional to 5,630.76, 7,770.36 and 3,113.07 is: 4,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.76 : 7,770.36 = 3,113.07 : x
  2. Step 2: Convert to fraction form
    5,630.76/7,770.36 = 3,113.07/x
  3. Step 3: Cross multiply
    5,630.76x = 7,770.36 × 3,113.07
  4. Step 4: Simplify right side
    5,630.76x = 24,189,674.61
  5. Step 5: Solve for x
    x = 24,189,674.61/5,630.76
  6. Step 6: Final answer
    x = 4,295.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.