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Finding the Fourth Proportional to 3,475.89, 5,214.63 and 1,167.39

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Solution

The fourth proportional to 3,475.89, 5,214.63 and 1,167.39 is: 1,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.89 : 5,214.63 = 1,167.39 : x
  2. Step 2: Convert to fraction form
    3,475.89/5,214.63 = 1,167.39/x
  3. Step 3: Cross multiply
    3,475.89x = 5,214.63 × 1,167.39
  4. Step 4: Simplify right side
    3,475.89x = 6,087,506.92
  5. Step 5: Solve for x
    x = 6,087,506.92/3,475.89
  6. Step 6: Final answer
    x = 1,751.35

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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.