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Finding the Fourth Proportional to 5,772.90, 8,658.12 and 2,075.34

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Solution

The fourth proportional to 5,772.90, 8,658.12 and 2,075.34 is: 3,112.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,772.90 : 8,658.12 = 2,075.34 : x
  2. Step 2: Convert to fraction form
    5,772.90/8,658.12 = 2,075.34/x
  3. Step 3: Cross multiply
    5,772.90x = 8,658.12 × 2,075.34
  4. Step 4: Simplify right side
    5,772.90x = 17,968,542.76
  5. Step 5: Solve for x
    x = 17,968,542.76/5,772.90
  6. Step 6: Final answer
    x = 3,112.57

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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.