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Finding the Fourth Proportional to 6,093.65, 8,410.58 and 3,858.51

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Solution

The fourth proportional to 6,093.65, 8,410.58 and 3,858.51 is: 5,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.65 : 8,410.58 = 3,858.51 : x
  2. Step 2: Convert to fraction form
    6,093.65/8,410.58 = 3,858.51/x
  3. Step 3: Cross multiply
    6,093.65x = 8,410.58 × 3,858.51
  4. Step 4: Simplify right side
    6,093.65x = 32,452,287.74
  5. Step 5: Solve for x
    x = 32,452,287.74/6,093.65
  6. Step 6: Final answer
    x = 5,325.60

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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.