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Finding the Fourth Proportional to 3,075.92, 4,613.43 and 1,127.67

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Solution

The fourth proportional to 3,075.92, 4,613.43 and 1,127.67 is: 1,691.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,075.92 : 4,613.43 = 1,127.67 : x
  2. Step 2: Convert to fraction form
    3,075.92/4,613.43 = 1,127.67/x
  3. Step 3: Cross multiply
    3,075.92x = 4,613.43 × 1,127.67
  4. Step 4: Simplify right side
    3,075.92x = 5,202,436.32
  5. Step 5: Solve for x
    x = 5,202,436.32/3,075.92
  6. Step 6: Final answer
    x = 1,691.34

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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.