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Finding the Fourth Proportional to 3,809.30, 5,703.93 and 3,064.95

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Solution

The fourth proportional to 3,809.30, 5,703.93 and 3,064.95 is: 4,589.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.30 : 5,703.93 = 3,064.95 : x
  2. Step 2: Convert to fraction form
    3,809.30/5,703.93 = 3,064.95/x
  3. Step 3: Cross multiply
    3,809.30x = 5,703.93 × 3,064.95
  4. Step 4: Simplify right side
    3,809.30x = 17,482,260.25
  5. Step 5: Solve for x
    x = 17,482,260.25/3,809.30
  6. Step 6: Final answer
    x = 4,589.37

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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.