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Finding the Fourth Proportional to 3,589.51, 5,384.25 and 957.01

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Solution

The fourth proportional to 3,589.51, 5,384.25 and 957.01 is: 1,435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,589.51 : 5,384.25 = 957.01 : x
  2. Step 2: Convert to fraction form
    3,589.51/5,384.25 = 957.01/x
  3. Step 3: Cross multiply
    3,589.51x = 5,384.25 × 957.01
  4. Step 4: Simplify right side
    3,589.51x = 5,152,781.09
  5. Step 5: Solve for x
    x = 5,152,781.09/3,589.51
  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.