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Finding the Fourth Proportional to 5,703, 8,559.36 and 2,242.68

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Solution

The fourth proportional to 5,703, 8,559.36 and 2,242.68 is: 3,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703 : 8,559.36 = 2,242.68 : x
  2. Step 2: Convert to fraction form
    5,703/8,559.36 = 2,242.68/x
  3. Step 3: Cross multiply
    5,703x = 8,559.36 × 2,242.68
  4. Step 4: Simplify right side
    5,703x = 19,195,905.48
  5. Step 5: Solve for x
    x = 19,195,905.48/5,703
  6. Step 6: Final answer
    x = 3,365.93

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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.