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Finding the Fourth Proportional to 5,670.42, 7,824.98 and 3,152.46

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Solution

The fourth proportional to 5,670.42, 7,824.98 and 3,152.46 is: 4,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.42 : 7,824.98 = 3,152.46 : x
  2. Step 2: Convert to fraction form
    5,670.42/7,824.98 = 3,152.46/x
  3. Step 3: Cross multiply
    5,670.42x = 7,824.98 × 3,152.46
  4. Step 4: Simplify right side
    5,670.42x = 24,667,936.45
  5. Step 5: Solve for x
    x = 24,667,936.45/5,670.42
  6. Step 6: Final answer
    x = 4,350.28

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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.