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Finding the Fourth Proportional to 3,568.62, 5,352.93 and 971.94

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Solution

The fourth proportional to 3,568.62, 5,352.93 and 971.94 is: 1,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.62 : 5,352.93 = 971.94 : x
  2. Step 2: Convert to fraction form
    3,568.62/5,352.93 = 971.94/x
  3. Step 3: Cross multiply
    3,568.62x = 5,352.93 × 971.94
  4. Step 4: Simplify right side
    3,568.62x = 5,202,726.78
  5. Step 5: Solve for x
    x = 5,202,726.78/3,568.62
  6. Step 6: Final answer
    x = 1,457.91

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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.