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Finding the Fourth Proportional to 4,179.58, 5,768 and 2,411.18

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Solution

The fourth proportional to 4,179.58, 5,768 and 2,411.18 is: 3,327.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,179.58 : 5,768 = 2,411.18 : x
  2. Step 2: Convert to fraction form
    4,179.58/5,768 = 2,411.18/x
  3. Step 3: Cross multiply
    4,179.58x = 5,768 × 2,411.18
  4. Step 4: Simplify right side
    4,179.58x = 13,907,686.24
  5. Step 5: Solve for x
    x = 13,907,686.24/4,179.58
  6. Step 6: Final answer
    x = 3,327.53

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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.