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Finding the Fourth Proportional to 4,174.90, 6,259.06 and 2,197.93

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Solution

The fourth proportional to 4,174.90, 6,259.06 and 2,197.93 is: 3,295.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.90 : 6,259.06 = 2,197.93 : x
  2. Step 2: Convert to fraction form
    4,174.90/6,259.06 = 2,197.93/x
  3. Step 3: Cross multiply
    4,174.90x = 6,259.06 × 2,197.93
  4. Step 4: Simplify right side
    4,174.90x = 13,756,975.75
  5. Step 5: Solve for x
    x = 13,756,975.75/4,174.90
  6. Step 6: Final answer
    x = 3,295.16

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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.