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Finding the Fourth Proportional to 4,057.95, 6,075.06 and 3,668.85

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Solution

The fourth proportional to 4,057.95, 6,075.06 and 3,668.85 is: 5,492.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.95 : 6,075.06 = 3,668.85 : x
  2. Step 2: Convert to fraction form
    4,057.95/6,075.06 = 3,668.85/x
  3. Step 3: Cross multiply
    4,057.95x = 6,075.06 × 3,668.85
  4. Step 4: Simplify right side
    4,057.95x = 22,288,483.88
  5. Step 5: Solve for x
    x = 22,288,483.88/4,057.95
  6. Step 6: Final answer
    x = 5,492.55

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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.