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Finding the Fourth Proportional to 4,165.16, 5,734.80 and 3,534.37

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Solution

The fourth proportional to 4,165.16, 5,734.80 and 3,534.37 is: 4,866.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,165.16 : 5,734.80 = 3,534.37 : x
  2. Step 2: Convert to fraction form
    4,165.16/5,734.80 = 3,534.37/x
  3. Step 3: Cross multiply
    4,165.16x = 5,734.80 × 3,534.37
  4. Step 4: Simplify right side
    4,165.16x = 20,268,890.74
  5. Step 5: Solve for x
    x = 20,268,890.74/4,165.16
  6. Step 6: Final answer
    x = 4,866.30

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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.