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Finding the Fourth Proportional to 5,288.46, 7,935.45 and 2,656.38

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Solution

The fourth proportional to 5,288.46, 7,935.45 and 2,656.38 is: 3,985.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,288.46 : 7,935.45 = 2,656.38 : x
  2. Step 2: Convert to fraction form
    5,288.46/7,935.45 = 2,656.38/x
  3. Step 3: Cross multiply
    5,288.46x = 7,935.45 × 2,656.38
  4. Step 4: Simplify right side
    5,288.46x = 21,079,570.67
  5. Step 5: Solve for x
    x = 21,079,570.67/5,288.46
  6. Step 6: Final answer
    x = 3,985.96

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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.