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Finding the Fourth Proportional to 6,389.63, 9,586.83 and 2,878.59

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Solution

The fourth proportional to 6,389.63, 9,586.83 and 2,878.59 is: 4,318.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.63 : 9,586.83 = 2,878.59 : x
  2. Step 2: Convert to fraction form
    6,389.63/9,586.83 = 2,878.59/x
  3. Step 3: Cross multiply
    6,389.63x = 9,586.83 × 2,878.59
  4. Step 4: Simplify right side
    6,389.63x = 27,596,497.84
  5. Step 5: Solve for x
    x = 27,596,497.84/6,389.63
  6. Step 6: Final answer
    x = 4,318.95

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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.