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Finding the Fourth Proportional to 5,222.28, 7,783.02 and 5,214.06

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Solution

The fourth proportional to 5,222.28, 7,783.02 and 5,214.06 is: 7,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.28 : 7,783.02 = 5,214.06 : x
  2. Step 2: Convert to fraction form
    5,222.28/7,783.02 = 5,214.06/x
  3. Step 3: Cross multiply
    5,222.28x = 7,783.02 × 5,214.06
  4. Step 4: Simplify right side
    5,222.28x = 40,581,133.26
  5. Step 5: Solve for x
    x = 40,581,133.26/5,222.28
  6. Step 6: Final answer
    x = 7,770.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.