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Finding the Fourth Proportional to 4,576.90, 6,866.16 and 1,802.92

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Solution

The fourth proportional to 4,576.90, 6,866.16 and 1,802.92 is: 2,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.90 : 6,866.16 = 1,802.92 : x
  2. Step 2: Convert to fraction form
    4,576.90/6,866.16 = 1,802.92/x
  3. Step 3: Cross multiply
    4,576.90x = 6,866.16 × 1,802.92
  4. Step 4: Simplify right side
    4,576.90x = 12,379,137.19
  5. Step 5: Solve for x
    x = 12,379,137.19/4,576.90
  6. Step 6: Final answer
    x = 2,704.70

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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.