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Finding the Fourth Proportional to 5,303.86, 7,950.32 and 2,383

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Solution

The fourth proportional to 5,303.86, 7,950.32 and 2,383 is: 3,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.86 : 7,950.32 = 2,383 : x
  2. Step 2: Convert to fraction form
    5,303.86/7,950.32 = 2,383/x
  3. Step 3: Cross multiply
    5,303.86x = 7,950.32 × 2,383
  4. Step 4: Simplify right side
    5,303.86x = 18,945,612.56
  5. Step 5: Solve for x
    x = 18,945,612.56/5,303.86
  6. Step 6: Final answer
    x = 3,572.04

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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.