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Finding the Fourth Proportional to 3,564.48, 5,344.81 and 1,785.26

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Solution

The fourth proportional to 3,564.48, 5,344.81 and 1,785.26 is: 2,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.48 : 5,344.81 = 1,785.26 : x
  2. Step 2: Convert to fraction form
    3,564.48/5,344.81 = 1,785.26/x
  3. Step 3: Cross multiply
    3,564.48x = 5,344.81 × 1,785.26
  4. Step 4: Simplify right side
    3,564.48x = 9,541,875.50
  5. Step 5: Solve for x
    x = 9,541,875.50/3,564.48
  6. Step 6: Final answer
    x = 2,676.93

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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.