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Finding the Fourth Proportional to 4,114.98, 5,679 and 2,346.18

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Solution

The fourth proportional to 4,114.98, 5,679 and 2,346.18 is: 3,237.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.98 : 5,679 = 2,346.18 : x
  2. Step 2: Convert to fraction form
    4,114.98/5,679 = 2,346.18/x
  3. Step 3: Cross multiply
    4,114.98x = 5,679 × 2,346.18
  4. Step 4: Simplify right side
    4,114.98x = 13,323,956.22
  5. Step 5: Solve for x
    x = 13,323,956.22/4,114.98
  6. Step 6: Final answer
    x = 3,237.92

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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.