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Finding the Fourth Proportional to 3,723.08, 5,582.54 and 1,223.08

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Solution

The fourth proportional to 3,723.08, 5,582.54 and 1,223.08 is: 1,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.08 : 5,582.54 = 1,223.08 : x
  2. Step 2: Convert to fraction form
    3,723.08/5,582.54 = 1,223.08/x
  3. Step 3: Cross multiply
    3,723.08x = 5,582.54 × 1,223.08
  4. Step 4: Simplify right side
    3,723.08x = 6,827,893.02
  5. Step 5: Solve for x
    x = 6,827,893.02/3,723.08
  6. Step 6: Final answer
    x = 1,833.94

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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.