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Finding the Fourth Proportional to 4,346.16, 5,991.48 and 3,102

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Solution

The fourth proportional to 4,346.16, 5,991.48 and 3,102 is: 4,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,346.16 : 5,991.48 = 3,102 : x
  2. Step 2: Convert to fraction form
    4,346.16/5,991.48 = 3,102/x
  3. Step 3: Cross multiply
    4,346.16x = 5,991.48 × 3,102
  4. Step 4: Simplify right side
    4,346.16x = 18,585,570.96
  5. Step 5: Solve for x
    x = 18,585,570.96/4,346.16
  6. Step 6: Final answer
    x = 4,276.32

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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.