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Finding the Fourth Proportional to 3,457.76, 5,191.26 and 2,054.80

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Solution

The fourth proportional to 3,457.76, 5,191.26 and 2,054.80 is: 3,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.76 : 5,191.26 = 2,054.80 : x
  2. Step 2: Convert to fraction form
    3,457.76/5,191.26 = 2,054.80/x
  3. Step 3: Cross multiply
    3,457.76x = 5,191.26 × 2,054.80
  4. Step 4: Simplify right side
    3,457.76x = 10,666,964.82
  5. Step 5: Solve for x
    x = 10,666,964.82/3,457.76
  6. Step 6: Final answer
    x = 3,084.93

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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.