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Finding the Fourth Proportional to 4,218.75, 5,821.88 and 2,355.75

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Solution

The fourth proportional to 4,218.75, 5,821.88 and 2,355.75 is: 3,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.75 : 5,821.88 = 2,355.75 : x
  2. Step 2: Convert to fraction form
    4,218.75/5,821.88 = 2,355.75/x
  3. Step 3: Cross multiply
    4,218.75x = 5,821.88 × 2,355.75
  4. Step 4: Simplify right side
    4,218.75x = 13,714,893.81
  5. Step 5: Solve for x
    x = 13,714,893.81/4,218.75
  6. Step 6: Final answer
    x = 3,250.94

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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.