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Finding the Fourth Proportional to 5,464.70, 8,200.29 and 5,118.76

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Solution

The fourth proportional to 5,464.70, 8,200.29 and 5,118.76 is: 7,681.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.70 : 8,200.29 = 5,118.76 : x
  2. Step 2: Convert to fraction form
    5,464.70/8,200.29 = 5,118.76/x
  3. Step 3: Cross multiply
    5,464.70x = 8,200.29 × 5,118.76
  4. Step 4: Simplify right side
    5,464.70x = 41,975,316.44
  5. Step 5: Solve for x
    x = 41,975,316.44/5,464.70
  6. Step 6: Final answer
    x = 7,681.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.