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Finding the Fourth Proportional to 3,457.59, 4,771.20 and 2,131.31

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Solution

The fourth proportional to 3,457.59, 4,771.20 and 2,131.31 is: 2,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.59 : 4,771.20 = 2,131.31 : x
  2. Step 2: Convert to fraction form
    3,457.59/4,771.20 = 2,131.31/x
  3. Step 3: Cross multiply
    3,457.59x = 4,771.20 × 2,131.31
  4. Step 4: Simplify right side
    3,457.59x = 10,168,926.19
  5. Step 5: Solve for x
    x = 10,168,926.19/3,457.59
  6. Step 6: Final answer
    x = 2,941.05

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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.