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Finding the Fourth Proportional to 5,571.42, 7,688.22 and 3,053.08

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Solution

The fourth proportional to 5,571.42, 7,688.22 and 3,053.08 is: 4,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,571.42 : 7,688.22 = 3,053.08 : x
  2. Step 2: Convert to fraction form
    5,571.42/7,688.22 = 3,053.08/x
  3. Step 3: Cross multiply
    5,571.42x = 7,688.22 × 3,053.08
  4. Step 4: Simplify right side
    5,571.42x = 23,472,750.72
  5. Step 5: Solve for x
    x = 23,472,750.72/5,571.42
  6. Step 6: Final answer
    x = 4,213.06

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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.