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Finding the Fourth Proportional to 4,645.90, 6,968.58 and 3,914.20

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Solution

The fourth proportional to 4,645.90, 6,968.58 and 3,914.20 is: 5,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.90 : 6,968.58 = 3,914.20 : x
  2. Step 2: Convert to fraction form
    4,645.90/6,968.58 = 3,914.20/x
  3. Step 3: Cross multiply
    4,645.90x = 6,968.58 × 3,914.20
  4. Step 4: Simplify right side
    4,645.90x = 27,276,415.84
  5. Step 5: Solve for x
    x = 27,276,415.84/4,645.90
  6. Step 6: Final answer
    x = 5,871.07

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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.