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Finding the Fourth Proportional to 5,434.68, 8,135.97 and 4,054.08

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Solution

The fourth proportional to 5,434.68, 8,135.97 and 4,054.08 is: 6,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.68 : 8,135.97 = 4,054.08 : x
  2. Step 2: Convert to fraction form
    5,434.68/8,135.97 = 4,054.08/x
  3. Step 3: Cross multiply
    5,434.68x = 8,135.97 × 4,054.08
  4. Step 4: Simplify right side
    5,434.68x = 32,983,873.26
  5. Step 5: Solve for x
    x = 32,983,873.26/5,434.68
  6. Step 6: Final answer
    x = 6,069.15

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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.