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Finding the Fourth Proportional to 3,435.72, 5,153.85 and 970.56

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Solution

The fourth proportional to 3,435.72, 5,153.85 and 970.56 is: 1,455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.72 : 5,153.85 = 970.56 : x
  2. Step 2: Convert to fraction form
    3,435.72/5,153.85 = 970.56/x
  3. Step 3: Cross multiply
    3,435.72x = 5,153.85 × 970.56
  4. Step 4: Simplify right side
    3,435.72x = 5,002,104.97
  5. Step 5: Solve for x
    x = 5,002,104.97/3,435.72
  6. Step 6: Final answer
    x = 1,455.91

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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.