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Finding the Fourth Proportional to 5,496.36, 7,582.80 and 3,257.40

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Solution

The fourth proportional to 5,496.36, 7,582.80 and 3,257.40 is: 4,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.36 : 7,582.80 = 3,257.40 : x
  2. Step 2: Convert to fraction form
    5,496.36/7,582.80 = 3,257.40/x
  3. Step 3: Cross multiply
    5,496.36x = 7,582.80 × 3,257.40
  4. Step 4: Simplify right side
    5,496.36x = 24,700,212.72
  5. Step 5: Solve for x
    x = 24,700,212.72/5,496.36
  6. Step 6: Final answer
    x = 4,493.92

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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.