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Finding the Fourth Proportional to 5,223.52, 7,837.26 and 3,145.00

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Solution

The fourth proportional to 5,223.52, 7,837.26 and 3,145.00 is: 4,718.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.52 : 7,837.26 = 3,145.00 : x
  2. Step 2: Convert to fraction form
    5,223.52/7,837.26 = 3,145.00/x
  3. Step 3: Cross multiply
    5,223.52x = 7,837.26 × 3,145.00
  4. Step 4: Simplify right side
    5,223.52x = 24,648,143.51
  5. Step 5: Solve for x
    x = 24,648,143.51/5,223.52
  6. Step 6: Final answer
    x = 4,718.69

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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.