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Finding the Fourth Proportional to 5,670.14, 7,822.98 and 3,431.30

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Solution

The fourth proportional to 5,670.14, 7,822.98 and 3,431.30 is: 4,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.14 : 7,822.98 = 3,431.30 : x
  2. Step 2: Convert to fraction form
    5,670.14/7,822.98 = 3,431.30/x
  3. Step 3: Cross multiply
    5,670.14x = 7,822.98 × 3,431.30
  4. Step 4: Simplify right side
    5,670.14x = 26,842,952.16
  5. Step 5: Solve for x
    x = 26,842,952.16/5,670.14
  6. Step 6: Final answer
    x = 4,734.09

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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.