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Finding the Fourth Proportional to 3,588.36, 5,385.66 and 1,398.66

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Solution

The fourth proportional to 3,588.36, 5,385.66 and 1,398.66 is: 2,099.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.36 : 5,385.66 = 1,398.66 : x
  2. Step 2: Convert to fraction form
    3,588.36/5,385.66 = 1,398.66/x
  3. Step 3: Cross multiply
    3,588.36x = 5,385.66 × 1,398.66
  4. Step 4: Simplify right side
    3,588.36x = 7,532,707.22
  5. Step 5: Solve for x
    x = 7,532,707.22/3,588.36
  6. Step 6: Final answer
    x = 2,099.21

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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.