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Finding the Fourth Proportional to 4,384.88, 6,580.00 and 2,306.37

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Solution

The fourth proportional to 4,384.88, 6,580.00 and 2,306.37 is: 3,460.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.88 : 6,580.00 = 2,306.37 : x
  2. Step 2: Convert to fraction form
    4,384.88/6,580.00 = 2,306.37/x
  3. Step 3: Cross multiply
    4,384.88x = 6,580.00 × 2,306.37
  4. Step 4: Simplify right side
    4,384.88x = 15,175,942.16
  5. Step 5: Solve for x
    x = 15,175,942.16/4,384.88
  6. Step 6: Final answer
    x = 3,460.97

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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.