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Finding the Fourth Proportional to 3,588.83, 5,383.51 and 956.32

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Solution

The fourth proportional to 3,588.83, 5,383.51 and 956.32 is: 1,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.83 : 5,383.51 = 956.32 : x
  2. Step 2: Convert to fraction form
    3,588.83/5,383.51 = 956.32/x
  3. Step 3: Cross multiply
    3,588.83x = 5,383.51 × 956.32
  4. Step 4: Simplify right side
    3,588.83x = 5,148,366.21
  5. Step 5: Solve for x
    x = 5,148,366.21/3,588.83
  6. Step 6: Final answer
    x = 1,434.55

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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.