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Finding the Fourth Proportional to 5,883, 8,822.63 and 1,933.35

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Solution

The fourth proportional to 5,883, 8,822.63 and 1,933.35 is: 2,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883 : 8,822.63 = 1,933.35 : x
  2. Step 2: Convert to fraction form
    5,883/8,822.63 = 1,933.35/x
  3. Step 3: Cross multiply
    5,883x = 8,822.63 × 1,933.35
  4. Step 4: Simplify right side
    5,883x = 17,057,196.21
  5. Step 5: Solve for x
    x = 17,057,196.21/5,883
  6. Step 6: Final answer
    x = 2,899.40

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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.