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Finding the Fourth Proportional to 3,588.81, 5,382.13 and 1,397.01

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Solution

The fourth proportional to 3,588.81, 5,382.13 and 1,397.01 is: 2,095.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.81 : 5,382.13 = 1,397.01 : x
  2. Step 2: Convert to fraction form
    3,588.81/5,382.13 = 1,397.01/x
  3. Step 3: Cross multiply
    3,588.81x = 5,382.13 × 1,397.01
  4. Step 4: Simplify right side
    3,588.81x = 7,518,889.43
  5. Step 5: Solve for x
    x = 7,518,889.43/3,588.81
  6. Step 6: Final answer
    x = 2,095.09

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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.