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Finding the Fourth Proportional to 4,075.92, 6,113.46 and 1,443

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Solution

The fourth proportional to 4,075.92, 6,113.46 and 1,443 is: 2,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.92 : 6,113.46 = 1,443 : x
  2. Step 2: Convert to fraction form
    4,075.92/6,113.46 = 1,443/x
  3. Step 3: Cross multiply
    4,075.92x = 6,113.46 × 1,443
  4. Step 4: Simplify right side
    4,075.92x = 8,821,722.78
  5. Step 5: Solve for x
    x = 8,821,722.78/4,075.92
  6. Step 6: Final answer
    x = 2,164.35

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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.