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Finding the Fourth Proportional to 4,063.38, 6,095.07 and 985.38

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Solution

The fourth proportional to 4,063.38, 6,095.07 and 985.38 is: 1,478.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.38 : 6,095.07 = 985.38 : x
  2. Step 2: Convert to fraction form
    4,063.38/6,095.07 = 985.38/x
  3. Step 3: Cross multiply
    4,063.38x = 6,095.07 × 985.38
  4. Step 4: Simplify right side
    4,063.38x = 6,005,924.67
  5. Step 5: Solve for x
    x = 6,005,924.67/4,063.38
  6. Step 6: Final answer
    x = 1,478.06

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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.