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Finding the Fourth Proportional to 3,928.93, 5,893.70 and 1,588.84

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Solution

The fourth proportional to 3,928.93, 5,893.70 and 1,588.84 is: 2,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.93 : 5,893.70 = 1,588.84 : x
  2. Step 2: Convert to fraction form
    3,928.93/5,893.70 = 1,588.84/x
  3. Step 3: Cross multiply
    3,928.93x = 5,893.70 × 1,588.84
  4. Step 4: Simplify right side
    3,928.93x = 9,364,123.63
  5. Step 5: Solve for x
    x = 9,364,123.63/3,928.93
  6. Step 6: Final answer
    x = 2,383.38

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1.5x scale

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.