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Finding the Fourth Proportional to 4,675.70, 7,012.35 and 1,388.05

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Solution

The fourth proportional to 4,675.70, 7,012.35 and 1,388.05 is: 2,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.70 : 7,012.35 = 1,388.05 : x
  2. Step 2: Convert to fraction form
    4,675.70/7,012.35 = 1,388.05/x
  3. Step 3: Cross multiply
    4,675.70x = 7,012.35 × 1,388.05
  4. Step 4: Simplify right side
    4,675.70x = 9,733,474.89
  5. Step 5: Solve for x
    x = 9,733,474.89/4,675.70
  6. Step 6: Final answer
    x = 2,081.71

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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.