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Finding the Fourth Proportional to 4,907.61, 6,772.68 and 2,812.14

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Solution

The fourth proportional to 4,907.61, 6,772.68 and 2,812.14 is: 3,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.61 : 6,772.68 = 2,812.14 : x
  2. Step 2: Convert to fraction form
    4,907.61/6,772.68 = 2,812.14/x
  3. Step 3: Cross multiply
    4,907.61x = 6,772.68 × 2,812.14
  4. Step 4: Simplify right side
    4,907.61x = 19,045,724.34
  5. Step 5: Solve for x
    x = 19,045,724.34/4,907.61
  6. Step 6: Final answer
    x = 3,880.86

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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.