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Finding the Fourth Proportional to 3,773.56, 5,659.94 and 2,310.16

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Solution

The fourth proportional to 3,773.56, 5,659.94 and 2,310.16 is: 3,465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.56 : 5,659.94 = 2,310.16 : x
  2. Step 2: Convert to fraction form
    3,773.56/5,659.94 = 2,310.16/x
  3. Step 3: Cross multiply
    3,773.56x = 5,659.94 × 2,310.16
  4. Step 4: Simplify right side
    3,773.56x = 13,075,366.99
  5. Step 5: Solve for x
    x = 13,075,366.99/3,773.56
  6. Step 6: Final answer
    x = 3,465.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.