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Finding the Fourth Proportional to 5,226.72, 7,820.72 and 3,148.08

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Solution

The fourth proportional to 5,226.72, 7,820.72 and 3,148.08 is: 4,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.72 : 7,820.72 = 3,148.08 : x
  2. Step 2: Convert to fraction form
    5,226.72/7,820.72 = 3,148.08/x
  3. Step 3: Cross multiply
    5,226.72x = 7,820.72 × 3,148.08
  4. Step 4: Simplify right side
    5,226.72x = 24,620,252.22
  5. Step 5: Solve for x
    x = 24,620,252.22/5,226.72
  6. Step 6: Final answer
    x = 4,710.46

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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.