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Finding the Fourth Proportional to 4,114.58, 5,678.15 and 2,346.17

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Solution

The fourth proportional to 4,114.58, 5,678.15 and 2,346.17 is: 3,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.58 : 5,678.15 = 2,346.17 : x
  2. Step 2: Convert to fraction form
    4,114.58/5,678.15 = 2,346.17/x
  3. Step 3: Cross multiply
    4,114.58x = 5,678.15 × 2,346.17
  4. Step 4: Simplify right side
    4,114.58x = 13,321,893.45
  5. Step 5: Solve for x
    x = 13,321,893.45/4,114.58
  6. Step 6: Final answer
    x = 3,237.73

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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.