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Finding the Fourth Proportional to 3,568.36, 5,352.06 and 971.08

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Solution

The fourth proportional to 3,568.36, 5,352.06 and 971.08 is: 1,456.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.36 : 5,352.06 = 971.08 : x
  2. Step 2: Convert to fraction form
    3,568.36/5,352.06 = 971.08/x
  3. Step 3: Cross multiply
    3,568.36x = 5,352.06 × 971.08
  4. Step 4: Simplify right side
    3,568.36x = 5,197,278.42
  5. Step 5: Solve for x
    x = 5,197,278.42/3,568.36
  6. Step 6: Final answer
    x = 1,456.49

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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.