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Finding the Fourth Proportional to 5,968.32, 8,944 and 3,048.64

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Solution

The fourth proportional to 5,968.32, 8,944 and 3,048.64 is: 4,568.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.32 : 8,944 = 3,048.64 : x
  2. Step 2: Convert to fraction form
    5,968.32/8,944 = 3,048.64/x
  3. Step 3: Cross multiply
    5,968.32x = 8,944 × 3,048.64
  4. Step 4: Simplify right side
    5,968.32x = 27,267,036.16
  5. Step 5: Solve for x
    x = 27,267,036.16/5,968.32
  6. Step 6: Final answer
    x = 4,568.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.