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Finding the Fourth Proportional to 3,457.75, 5,186.59 and 1,607.83

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Solution

The fourth proportional to 3,457.75, 5,186.59 and 1,607.83 is: 2,411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.75 : 5,186.59 = 1,607.83 : x
  2. Step 2: Convert to fraction form
    3,457.75/5,186.59 = 1,607.83/x
  3. Step 3: Cross multiply
    3,457.75x = 5,186.59 × 1,607.83
  4. Step 4: Simplify right side
    3,457.75x = 8,339,155.00
  5. Step 5: Solve for x
    x = 8,339,155.00/3,457.75
  6. Step 6: Final answer
    x = 2,411.73

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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.