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Finding the Fourth Proportional to 3,476.56, 5,215.56 and 1,168

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Solution

The fourth proportional to 3,476.56, 5,215.56 and 1,168 is: 1,752.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.56 : 5,215.56 = 1,168 : x
  2. Step 2: Convert to fraction form
    3,476.56/5,215.56 = 1,168/x
  3. Step 3: Cross multiply
    3,476.56x = 5,215.56 × 1,168
  4. Step 4: Simplify right side
    3,476.56x = 6,091,774.08
  5. Step 5: Solve for x
    x = 6,091,774.08/3,476.56
  6. Step 6: Final answer
    x = 1,752.24

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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.