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Finding the Fourth Proportional to 3,588.92, 5,381.02 and 1,736.36

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Solution

The fourth proportional to 3,588.92, 5,381.02 and 1,736.36 is: 2,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.92 : 5,381.02 = 1,736.36 : x
  2. Step 2: Convert to fraction form
    3,588.92/5,381.02 = 1,736.36/x
  3. Step 3: Cross multiply
    3,588.92x = 5,381.02 × 1,736.36
  4. Step 4: Simplify right side
    3,588.92x = 9,343,387.89
  5. Step 5: Solve for x
    x = 9,343,387.89/3,588.92
  6. Step 6: Final answer
    x = 2,603.40

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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.