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Finding the Fourth Proportional to 3,810.76, 5,261.34 and 3,411.16

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Solution

The fourth proportional to 3,810.76, 5,261.34 and 3,411.16 is: 4,709.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.76 : 5,261.34 = 3,411.16 : x
  2. Step 2: Convert to fraction form
    3,810.76/5,261.34 = 3,411.16/x
  3. Step 3: Cross multiply
    3,810.76x = 5,261.34 × 3,411.16
  4. Step 4: Simplify right side
    3,810.76x = 17,947,272.55
  5. Step 5: Solve for x
    x = 17,947,272.55/3,810.76
  6. Step 6: Final answer
    x = 4,709.63

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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.