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Finding the Fourth Proportional to 5,977.32, 8,231.90 and 5,848.16

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Solution

The fourth proportional to 5,977.32, 8,231.90 and 5,848.16 is: 8,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.32 : 8,231.90 = 5,848.16 : x
  2. Step 2: Convert to fraction form
    5,977.32/8,231.90 = 5,848.16/x
  3. Step 3: Cross multiply
    5,977.32x = 8,231.90 × 5,848.16
  4. Step 4: Simplify right side
    5,977.32x = 48,141,468.30
  5. Step 5: Solve for x
    x = 48,141,468.30/5,977.32
  6. Step 6: Final answer
    x = 8,054.02

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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.