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Finding the Fourth Proportional to 3,457.58, 5,185.75 and 1,266.34

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Solution

The fourth proportional to 3,457.58, 5,185.75 and 1,266.34 is: 1,899.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.58 : 5,185.75 = 1,266.34 : x
  2. Step 2: Convert to fraction form
    3,457.58/5,185.75 = 1,266.34/x
  3. Step 3: Cross multiply
    3,457.58x = 5,185.75 × 1,266.34
  4. Step 4: Simplify right side
    3,457.58x = 6,566,922.66
  5. Step 5: Solve for x
    x = 6,566,922.66/3,457.58
  6. Step 6: Final answer
    x = 1,899.28

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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.