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Finding the Fourth Proportional to 3,457.84, 5,186.63 and 1,898.57

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Solution

The fourth proportional to 3,457.84, 5,186.63 and 1,898.57 is: 2,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.84 : 5,186.63 = 1,898.57 : x
  2. Step 2: Convert to fraction form
    3,457.84/5,186.63 = 1,898.57/x
  3. Step 3: Cross multiply
    3,457.84x = 5,186.63 × 1,898.57
  4. Step 4: Simplify right side
    3,457.84x = 9,847,197.83
  5. Step 5: Solve for x
    x = 9,847,197.83/3,457.84
  6. Step 6: Final answer
    x = 2,847.79

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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.