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Finding the Fourth Proportional to 3,457.83, 5,186.75 and 860.77

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Solution

The fourth proportional to 3,457.83, 5,186.75 and 860.77 is: 1,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.83 : 5,186.75 = 860.77 : x
  2. Step 2: Convert to fraction form
    3,457.83/5,186.75 = 860.77/x
  3. Step 3: Cross multiply
    3,457.83x = 5,186.75 × 860.77
  4. Step 4: Simplify right side
    3,457.83x = 4,464,568.56
  5. Step 5: Solve for x
    x = 4,464,568.56/3,457.83
  6. Step 6: Final answer
    x = 1,291.15

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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.