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Finding the Fourth Proportional to 4,945.96, 7,418.94 and 4,210.84

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Solution

The fourth proportional to 4,945.96, 7,418.94 and 4,210.84 is: 6,316.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,945.96 : 7,418.94 = 4,210.84 : x
  2. Step 2: Convert to fraction form
    4,945.96/7,418.94 = 4,210.84/x
  3. Step 3: Cross multiply
    4,945.96x = 7,418.94 × 4,210.84
  4. Step 4: Simplify right side
    4,945.96x = 31,239,969.31
  5. Step 5: Solve for x
    x = 31,239,969.31/4,945.96
  6. Step 6: Final answer
    x = 6,316.26

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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.