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Finding the Fourth Proportional to 3,588.71, 5,381.84 and 1,367.01

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Solution

The fourth proportional to 3,588.71, 5,381.84 and 1,367.01 is: 2,050.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.71 : 5,381.84 = 1,367.01 : x
  2. Step 2: Convert to fraction form
    3,588.71/5,381.84 = 1,367.01/x
  3. Step 3: Cross multiply
    3,588.71x = 5,381.84 × 1,367.01
  4. Step 4: Simplify right side
    3,588.71x = 7,357,022.26
  5. Step 5: Solve for x
    x = 7,357,022.26/3,588.71
  6. Step 6: Final answer
    x = 2,050.05

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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.