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Finding the Fourth Proportional to 4,172.48, 6,259.64 and 1,210.97

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Solution

The fourth proportional to 4,172.48, 6,259.64 and 1,210.97 is: 1,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.48 : 6,259.64 = 1,210.97 : x
  2. Step 2: Convert to fraction form
    4,172.48/6,259.64 = 1,210.97/x
  3. Step 3: Cross multiply
    4,172.48x = 6,259.64 × 1,210.97
  4. Step 4: Simplify right side
    4,172.48x = 7,580,205.36
  5. Step 5: Solve for x
    x = 7,580,205.36/4,172.48
  6. Step 6: Final answer
    x = 1,816.71

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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.