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Finding the Fourth Proportional to 3,435.21, 5,152.16 and 969.44

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Solution

The fourth proportional to 3,435.21, 5,152.16 and 969.44 is: 1,453.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.21 : 5,152.16 = 969.44 : x
  2. Step 2: Convert to fraction form
    3,435.21/5,152.16 = 969.44/x
  3. Step 3: Cross multiply
    3,435.21x = 5,152.16 × 969.44
  4. Step 4: Simplify right side
    3,435.21x = 4,994,681.20
  5. Step 5: Solve for x
    x = 4,994,681.20/3,435.21
  6. Step 6: Final answer
    x = 1,453.97

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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.