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Finding the Fourth Proportional to 4,967.16, 6,855.65 and 3,288.64

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Solution

The fourth proportional to 4,967.16, 6,855.65 and 3,288.64 is: 4,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.16 : 6,855.65 = 3,288.64 : x
  2. Step 2: Convert to fraction form
    4,967.16/6,855.65 = 3,288.64/x
  3. Step 3: Cross multiply
    4,967.16x = 6,855.65 × 3,288.64
  4. Step 4: Simplify right side
    4,967.16x = 22,545,764.82
  5. Step 5: Solve for x
    x = 22,545,764.82/4,967.16
  6. Step 6: Final answer
    x = 4,538.96

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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.