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Finding the Fourth Proportional to 3,457.01, 5,185.49 and 859.95

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Solution

The fourth proportional to 3,457.01, 5,185.49 and 859.95 is: 1,289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.01 : 5,185.49 = 859.95 : x
  2. Step 2: Convert to fraction form
    3,457.01/5,185.49 = 859.95/x
  3. Step 3: Cross multiply
    3,457.01x = 5,185.49 × 859.95
  4. Step 4: Simplify right side
    3,457.01x = 4,459,257.83
  5. Step 5: Solve for x
    x = 4,459,257.83/3,457.01
  6. Step 6: Final answer
    x = 1,289.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.