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Finding the Fourth Proportional to 4,708.90, 7,063.44 and 1,588.96

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Solution

The fourth proportional to 4,708.90, 7,063.44 and 1,588.96 is: 2,383.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.90 : 7,063.44 = 1,588.96 : x
  2. Step 2: Convert to fraction form
    4,708.90/7,063.44 = 1,588.96/x
  3. Step 3: Cross multiply
    4,708.90x = 7,063.44 × 1,588.96
  4. Step 4: Simplify right side
    4,708.90x = 11,223,523.62
  5. Step 5: Solve for x
    x = 11,223,523.62/4,708.90
  6. Step 6: Final answer
    x = 2,383.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.