Home / 5,052-6,968.64-3,477.28

Finding the Fourth Proportional to 5,052, 6,968.64 and 3,477.28

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Solution

The fourth proportional to 5,052, 6,968.64 and 3,477.28 is: 4,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052 : 6,968.64 = 3,477.28 : x
  2. Step 2: Convert to fraction form
    5,052/6,968.64 = 3,477.28/x
  3. Step 3: Cross multiply
    5,052x = 6,968.64 × 3,477.28
  4. Step 4: Simplify right side
    5,052x = 24,231,912.50
  5. Step 5: Solve for x
    x = 24,231,912.50/5,052
  6. Step 6: Final answer
    x = 4,796.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.