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Finding the Fourth Proportional to 3,809.68, 5,713.31 and 1,588.50

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Solution

The fourth proportional to 3,809.68, 5,713.31 and 1,588.50 is: 2,382.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.68 : 5,713.31 = 1,588.50 : x
  2. Step 2: Convert to fraction form
    3,809.68/5,713.31 = 1,588.50/x
  3. Step 3: Cross multiply
    3,809.68x = 5,713.31 × 1,588.50
  4. Step 4: Simplify right side
    3,809.68x = 9,075,596.91
  5. Step 5: Solve for x
    x = 9,075,596.91/3,809.68
  6. Step 6: Final answer
    x = 2,382.25

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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.