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Finding the Fourth Proportional to 3,568.78, 5,353.17 and 971.72

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Solution

The fourth proportional to 3,568.78, 5,353.17 and 971.72 is: 1,457.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.78 : 5,353.17 = 971.72 : x
  2. Step 2: Convert to fraction form
    3,568.78/5,353.17 = 971.72/x
  3. Step 3: Cross multiply
    3,568.78x = 5,353.17 × 971.72
  4. Step 4: Simplify right side
    3,568.78x = 5,201,782.35
  5. Step 5: Solve for x
    x = 5,201,782.35/3,568.78
  6. Step 6: Final answer
    x = 1,457.58

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