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Finding the Fourth Proportional to 4,063.63, 6,095.44 and 985.63

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Solution

The fourth proportional to 4,063.63, 6,095.44 and 985.63 is: 1,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,063.63 : 6,095.44 = 985.63 : x
  2. Step 2: Convert to fraction form
    4,063.63/6,095.44 = 985.63/x
  3. Step 3: Cross multiply
    4,063.63x = 6,095.44 × 985.63
  4. Step 4: Simplify right side
    4,063.63x = 6,007,818.05
  5. Step 5: Solve for x
    x = 6,007,818.05/4,063.63
  6. Step 6: Final answer
    x = 1,478.44

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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.