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Finding the Fourth Proportional to 5,854.70, 8,075.25 and 3,728.13

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Solution

The fourth proportional to 5,854.70, 8,075.25 and 3,728.13 is: 5,142.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.70 : 8,075.25 = 3,728.13 : x
  2. Step 2: Convert to fraction form
    5,854.70/8,075.25 = 3,728.13/x
  3. Step 3: Cross multiply
    5,854.70x = 8,075.25 × 3,728.13
  4. Step 4: Simplify right side
    5,854.70x = 30,105,581.78
  5. Step 5: Solve for x
    x = 30,105,581.78/5,854.70
  6. Step 6: Final answer
    x = 5,142.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.