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Finding the Fourth Proportional to 5,075.40, 6,997.71 and 3,881.88

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Solution

The fourth proportional to 5,075.40, 6,997.71 and 3,881.88 is: 5,352.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.40 : 6,997.71 = 3,881.88 : x
  2. Step 2: Convert to fraction form
    5,075.40/6,997.71 = 3,881.88/x
  3. Step 3: Cross multiply
    5,075.40x = 6,997.71 × 3,881.88
  4. Step 4: Simplify right side
    5,075.40x = 27,164,270.49
  5. Step 5: Solve for x
    x = 27,164,270.49/5,075.40
  6. Step 6: Final answer
    x = 5,352.14

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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.