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Finding the Fourth Proportional to 4,072.58, 6,108.91 and 1,299.28

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Solution

The fourth proportional to 4,072.58, 6,108.91 and 1,299.28 is: 1,948.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.58 : 6,108.91 = 1,299.28 : x
  2. Step 2: Convert to fraction form
    4,072.58/6,108.91 = 1,299.28/x
  3. Step 3: Cross multiply
    4,072.58x = 6,108.91 × 1,299.28
  4. Step 4: Simplify right side
    4,072.58x = 7,937,166.06
  5. Step 5: Solve for x
    x = 7,937,166.06/4,072.58
  6. Step 6: Final answer
    x = 1,948.93

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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.