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Finding the Fourth Proportional to 6,288.54, 8,678.14 and 3,635.89

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Solution

The fourth proportional to 6,288.54, 8,678.14 and 3,635.89 is: 5,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.54 : 8,678.14 = 3,635.89 : x
  2. Step 2: Convert to fraction form
    6,288.54/8,678.14 = 3,635.89/x
  3. Step 3: Cross multiply
    6,288.54x = 8,678.14 × 3,635.89
  4. Step 4: Simplify right side
    6,288.54x = 31,552,731.66
  5. Step 5: Solve for x
    x = 31,552,731.66/6,288.54
  6. Step 6: Final answer
    x = 5,017.50

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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.