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Finding the Fourth Proportional to 5,494.51, 8,231.84 and 4,622.45

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Solution

The fourth proportional to 5,494.51, 8,231.84 and 4,622.45 is: 6,925.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.51 : 8,231.84 = 4,622.45 : x
  2. Step 2: Convert to fraction form
    5,494.51/8,231.84 = 4,622.45/x
  3. Step 3: Cross multiply
    5,494.51x = 8,231.84 × 4,622.45
  4. Step 4: Simplify right side
    5,494.51x = 38,051,204.54
  5. Step 5: Solve for x
    x = 38,051,204.54/5,494.51
  6. Step 6: Final answer
    x = 6,925.32

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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.