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Finding the Fourth Proportional to 5,464.95, 7,523.39 and 5,213.88

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Solution

The fourth proportional to 5,464.95, 7,523.39 and 5,213.88 is: 7,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.95 : 7,523.39 = 5,213.88 : x
  2. Step 2: Convert to fraction form
    5,464.95/7,523.39 = 5,213.88/x
  3. Step 3: Cross multiply
    5,464.95x = 7,523.39 × 5,213.88
  4. Step 4: Simplify right side
    5,464.95x = 39,226,051.02
  5. Step 5: Solve for x
    x = 39,226,051.02/5,464.95
  6. Step 6: Final answer
    x = 7,177.75

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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.