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Finding the Fourth Proportional to 3,933.99, 5,430.06 and 2,341.77

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Solution

The fourth proportional to 3,933.99, 5,430.06 and 2,341.77 is: 3,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,933.99 : 5,430.06 = 2,341.77 : x
  2. Step 2: Convert to fraction form
    3,933.99/5,430.06 = 2,341.77/x
  3. Step 3: Cross multiply
    3,933.99x = 5,430.06 × 2,341.77
  4. Step 4: Simplify right side
    3,933.99x = 12,715,951.61
  5. Step 5: Solve for x
    x = 12,715,951.61/3,933.99
  6. Step 6: Final answer
    x = 3,232.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.