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Finding the Fourth Proportional to 5,570.52, 7,688.16 and 3,212.16

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Solution

The fourth proportional to 5,570.52, 7,688.16 and 3,212.16 is: 4,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.52 : 7,688.16 = 3,212.16 : x
  2. Step 2: Convert to fraction form
    5,570.52/7,688.16 = 3,212.16/x
  3. Step 3: Cross multiply
    5,570.52x = 7,688.16 × 3,212.16
  4. Step 4: Simplify right side
    5,570.52x = 24,695,600.03
  5. Step 5: Solve for x
    x = 24,695,600.03/5,570.52
  6. Step 6: Final answer
    x = 4,433.27

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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.