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Finding the Fourth Proportional to 5,286.51, 7,931.15 and 1,588.65

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Solution

The fourth proportional to 5,286.51, 7,931.15 and 1,588.65 is: 2,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.51 : 7,931.15 = 1,588.65 : x
  2. Step 2: Convert to fraction form
    5,286.51/7,931.15 = 1,588.65/x
  3. Step 3: Cross multiply
    5,286.51x = 7,931.15 × 1,588.65
  4. Step 4: Simplify right side
    5,286.51x = 12,599,813.50
  5. Step 5: Solve for x
    x = 12,599,813.50/5,286.51
  6. Step 6: Final answer
    x = 2,383.39

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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.