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Finding the Fourth Proportional to 5,670.76, 7,822.92 and 3,311.50

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Solution

The fourth proportional to 5,670.76, 7,822.92 and 3,311.50 is: 4,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.76 : 7,822.92 = 3,311.50 : x
  2. Step 2: Convert to fraction form
    5,670.76/7,822.92 = 3,311.50/x
  3. Step 3: Cross multiply
    5,670.76x = 7,822.92 × 3,311.50
  4. Step 4: Simplify right side
    5,670.76x = 25,905,599.58
  5. Step 5: Solve for x
    x = 25,905,599.58/5,670.76
  6. Step 6: Final answer
    x = 4,568.28

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1.5x scale

Why These Related Problems?

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