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Finding the Fourth Proportional to 4,804.80, 7,210.71 and 3,164.82

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Solution

The fourth proportional to 4,804.80, 7,210.71 and 3,164.82 is: 4,749.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.80 : 7,210.71 = 3,164.82 : x
  2. Step 2: Convert to fraction form
    4,804.80/7,210.71 = 3,164.82/x
  3. Step 3: Cross multiply
    4,804.80x = 7,210.71 × 3,164.82
  4. Step 4: Simplify right side
    4,804.80x = 22,820,599.22
  5. Step 5: Solve for x
    x = 22,820,599.22/4,804.80
  6. Step 6: Final answer
    x = 4,749.54

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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.