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Finding the Fourth Proportional to 3,435.78, 5,153.09 and 970.03

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Solution

The fourth proportional to 3,435.78, 5,153.09 and 970.03 is: 1,454.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.78 : 5,153.09 = 970.03 : x
  2. Step 2: Convert to fraction form
    3,435.78/5,153.09 = 970.03/x
  3. Step 3: Cross multiply
    3,435.78x = 5,153.09 × 970.03
  4. Step 4: Simplify right side
    3,435.78x = 4,998,632.68
  5. Step 5: Solve for x
    x = 4,998,632.68/3,435.78
  6. Step 6: Final answer
    x = 1,454.87

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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.