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Finding the Fourth Proportional to 4,174.72, 6,259.62 and 1,400.68

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Solution

The fourth proportional to 4,174.72, 6,259.62 and 1,400.68 is: 2,100.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.72 : 6,259.62 = 1,400.68 : x
  2. Step 2: Convert to fraction form
    4,174.72/6,259.62 = 1,400.68/x
  3. Step 3: Cross multiply
    4,174.72x = 6,259.62 × 1,400.68
  4. Step 4: Simplify right side
    4,174.72x = 8,767,724.54
  5. Step 5: Solve for x
    x = 8,767,724.54/4,174.72
  6. Step 6: Final answer
    x = 2,100.19

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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.