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Finding the Fourth Proportional to 6,323.04, 8,728.83 and 3,670.02

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Solution

The fourth proportional to 6,323.04, 8,728.83 and 3,670.02 is: 5,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.04 : 8,728.83 = 3,670.02 : x
  2. Step 2: Convert to fraction form
    6,323.04/8,728.83 = 3,670.02/x
  3. Step 3: Cross multiply
    6,323.04x = 8,728.83 × 3,670.02
  4. Step 4: Simplify right side
    6,323.04x = 32,034,980.68
  5. Step 5: Solve for x
    x = 32,034,980.68/6,323.04
  6. Step 6: Final answer
    x = 5,066.39

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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.