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Finding the Fourth Proportional to 3,554.29, 5,331.07 and 957.07

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Solution

The fourth proportional to 3,554.29, 5,331.07 and 957.07 is: 1,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,554.29 : 5,331.07 = 957.07 : x
  2. Step 2: Convert to fraction form
    3,554.29/5,331.07 = 957.07/x
  3. Step 3: Cross multiply
    3,554.29x = 5,331.07 × 957.07
  4. Step 4: Simplify right side
    3,554.29x = 5,102,207.16
  5. Step 5: Solve for x
    x = 5,102,207.16/3,554.29
  6. Step 6: Final answer
    x = 1,435.51

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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.