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Finding the Fourth Proportional to 4,172.96, 6,259.80 and 1,980.56

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Solution

The fourth proportional to 4,172.96, 6,259.80 and 1,980.56 is: 2,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.96 : 6,259.80 = 1,980.56 : x
  2. Step 2: Convert to fraction form
    4,172.96/6,259.80 = 1,980.56/x
  3. Step 3: Cross multiply
    4,172.96x = 6,259.80 × 1,980.56
  4. Step 4: Simplify right side
    4,172.96x = 12,397,909.49
  5. Step 5: Solve for x
    x = 12,397,909.49/4,172.96
  6. Step 6: Final answer
    x = 2,971.01

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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.