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Finding the Fourth Proportional to 5,075.80, 7,607.22 and 4,414.94

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Solution

The fourth proportional to 5,075.80, 7,607.22 and 4,414.94 is: 6,616.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.80 : 7,607.22 = 4,414.94 : x
  2. Step 2: Convert to fraction form
    5,075.80/7,607.22 = 4,414.94/x
  3. Step 3: Cross multiply
    5,075.80x = 7,607.22 × 4,414.94
  4. Step 4: Simplify right side
    5,075.80x = 33,585,393.80
  5. Step 5: Solve for x
    x = 33,585,393.80/5,075.80
  6. Step 6: Final answer
    x = 6,616.77

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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.