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Finding the Fourth Proportional to 3,588.94, 5,383.62 and 956.40

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Solution

The fourth proportional to 3,588.94, 5,383.62 and 956.40 is: 1,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,588.94 : 5,383.62 = 956.40 : x
  2. Step 2: Convert to fraction form
    3,588.94/5,383.62 = 956.40/x
  3. Step 3: Cross multiply
    3,588.94x = 5,383.62 × 956.40
  4. Step 4: Simplify right side
    3,588.94x = 5,148,894.17
  5. Step 5: Solve for x
    x = 5,148,894.17/3,588.94
  6. Step 6: Final answer
    x = 1,434.66

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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.