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Finding the Fourth Proportional to 5,620.32, 7,756.46 and 3,102.64

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Solution

The fourth proportional to 5,620.32, 7,756.46 and 3,102.64 is: 4,281.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,620.32 : 7,756.46 = 3,102.64 : x
  2. Step 2: Convert to fraction form
    5,620.32/7,756.46 = 3,102.64/x
  3. Step 3: Cross multiply
    5,620.32x = 7,756.46 × 3,102.64
  4. Step 4: Simplify right side
    5,620.32x = 24,065,503.05
  5. Step 5: Solve for x
    x = 24,065,503.05/5,620.32
  6. Step 6: Final answer
    x = 4,281.87

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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.