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Finding the Fourth Proportional to 5,572, 8,361.84 and 1,924

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Solution

The fourth proportional to 5,572, 8,361.84 and 1,924 is: 2,887.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572 : 8,361.84 = 1,924 : x
  2. Step 2: Convert to fraction form
    5,572/8,361.84 = 1,924/x
  3. Step 3: Cross multiply
    5,572x = 8,361.84 × 1,924
  4. Step 4: Simplify right side
    5,572x = 16,088,180.16
  5. Step 5: Solve for x
    x = 16,088,180.16/5,572
  6. Step 6: Final answer
    x = 2,887.33

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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.