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Finding the Fourth Proportional to 5,381.71, 8,075.70 and 2,261.49

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Solution

The fourth proportional to 5,381.71, 8,075.70 and 2,261.49 is: 3,393.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.71 : 8,075.70 = 2,261.49 : x
  2. Step 2: Convert to fraction form
    5,381.71/8,075.70 = 2,261.49/x
  3. Step 3: Cross multiply
    5,381.71x = 8,075.70 × 2,261.49
  4. Step 4: Simplify right side
    5,381.71x = 18,263,084.51
  5. Step 5: Solve for x
    x = 18,263,084.51/5,381.71
  6. Step 6: Final answer
    x = 3,393.55

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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.