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Finding the Fourth Proportional to 6,322.50, 8,726.78 and 3,670.75

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Solution

The fourth proportional to 6,322.50, 8,726.78 and 3,670.75 is: 5,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.50 : 8,726.78 = 3,670.75 : x
  2. Step 2: Convert to fraction form
    6,322.50/8,726.78 = 3,670.75/x
  3. Step 3: Cross multiply
    6,322.50x = 8,726.78 × 3,670.75
  4. Step 4: Simplify right side
    6,322.50x = 32,033,827.69
  5. Step 5: Solve for x
    x = 32,033,827.69/6,322.50
  6. Step 6: Final answer
    x = 5,066.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.