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Finding the Fourth Proportional to 3,457.50, 4,771.71 and 2,131.17

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Solution

The fourth proportional to 3,457.50, 4,771.71 and 2,131.17 is: 2,941.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.50 : 4,771.71 = 2,131.17 : x
  2. Step 2: Convert to fraction form
    3,457.50/4,771.71 = 2,131.17/x
  3. Step 3: Cross multiply
    3,457.50x = 4,771.71 × 2,131.17
  4. Step 4: Simplify right side
    3,457.50x = 10,169,325.20
  5. Step 5: Solve for x
    x = 10,169,325.20/3,457.50
  6. Step 6: Final answer
    x = 2,941.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.