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Finding the Fourth Proportional to 3,588.32, 5,386.80 and 2,136.80

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Solution

The fourth proportional to 3,588.32, 5,386.80 and 2,136.80 is: 3,207.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.32 : 5,386.80 = 2,136.80 : x
  2. Step 2: Convert to fraction form
    3,588.32/5,386.80 = 2,136.80/x
  3. Step 3: Cross multiply
    3,588.32x = 5,386.80 × 2,136.80
  4. Step 4: Simplify right side
    3,588.32x = 11,510,514.24
  5. Step 5: Solve for x
    x = 11,510,514.24/3,588.32
  6. Step 6: Final answer
    x = 3,207.77

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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.