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Finding the Fourth Proportional to 4,733.76, 7,091.30 and 4,464.02

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Solution

The fourth proportional to 4,733.76, 7,091.30 and 4,464.02 is: 6,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.76 : 7,091.30 = 4,464.02 : x
  2. Step 2: Convert to fraction form
    4,733.76/7,091.30 = 4,464.02/x
  3. Step 3: Cross multiply
    4,733.76x = 7,091.30 × 4,464.02
  4. Step 4: Simplify right side
    4,733.76x = 31,655,705.03
  5. Step 5: Solve for x
    x = 31,655,705.03/4,733.76
  6. Step 6: Final answer
    x = 6,687.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.