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Finding the Fourth Proportional to 4,152.80, 5,755.61 and 4,075.04

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Solution

The fourth proportional to 4,152.80, 5,755.61 and 4,075.04 is: 5,647.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.80 : 5,755.61 = 4,075.04 : x
  2. Step 2: Convert to fraction form
    4,152.80/5,755.61 = 4,075.04/x
  3. Step 3: Cross multiply
    4,152.80x = 5,755.61 × 4,075.04
  4. Step 4: Simplify right side
    4,152.80x = 23,454,342.63
  5. Step 5: Solve for x
    x = 23,454,342.63/4,152.80
  6. Step 6: Final answer
    x = 5,647.83

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.