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Finding the Fourth Proportional to 4,729.06, 6,523.86 and 3,673.90

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Solution

The fourth proportional to 4,729.06, 6,523.86 and 3,673.90 is: 5,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,729.06 : 6,523.86 = 3,673.90 : x
  2. Step 2: Convert to fraction form
    4,729.06/6,523.86 = 3,673.90/x
  3. Step 3: Cross multiply
    4,729.06x = 6,523.86 × 3,673.90
  4. Step 4: Simplify right side
    4,729.06x = 23,968,009.25
  5. Step 5: Solve for x
    x = 23,968,009.25/4,729.06
  6. Step 6: Final answer
    x = 5,068.24

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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.