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Finding the Fourth Proportional to 3,907.98, 5,376.63 and 3,411.78

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Solution

The fourth proportional to 3,907.98, 5,376.63 and 3,411.78 is: 4,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.98 : 5,376.63 = 3,411.78 : x
  2. Step 2: Convert to fraction form
    3,907.98/5,376.63 = 3,411.78/x
  3. Step 3: Cross multiply
    3,907.98x = 5,376.63 × 3,411.78
  4. Step 4: Simplify right side
    3,907.98x = 18,343,878.70
  5. Step 5: Solve for x
    x = 18,343,878.70/3,907.98
  6. Step 6: Final answer
    x = 4,693.95

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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.