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Finding the Fourth Proportional to 5,322.24, 7,971.84 and 5,160.96

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Solution

The fourth proportional to 5,322.24, 7,971.84 and 5,160.96 is: 7,730.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,322.24 : 7,971.84 = 5,160.96 : x
  2. Step 2: Convert to fraction form
    5,322.24/7,971.84 = 5,160.96/x
  3. Step 3: Cross multiply
    5,322.24x = 7,971.84 × 5,160.96
  4. Step 4: Simplify right side
    5,322.24x = 41,142,347.37
  5. Step 5: Solve for x
    x = 41,142,347.37/5,322.24
  6. Step 6: Final answer
    x = 7,730.27

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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.