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Finding the Fourth Proportional to 6,094.32, 8,409.30 and 3,441.30

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Solution

The fourth proportional to 6,094.32, 8,409.30 and 3,441.30 is: 4,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.32 : 8,409.30 = 3,441.30 : x
  2. Step 2: Convert to fraction form
    6,094.32/8,409.30 = 3,441.30/x
  3. Step 3: Cross multiply
    6,094.32x = 8,409.30 × 3,441.30
  4. Step 4: Simplify right side
    6,094.32x = 28,938,924.09
  5. Step 5: Solve for x
    x = 28,938,924.09/6,094.32
  6. Step 6: Final answer
    x = 4,748.51

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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.