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Finding the Fourth Proportional to 4,697.94, 7,047.09 and 1,578.05

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Solution

The fourth proportional to 4,697.94, 7,047.09 and 1,578.05 is: 2,367.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.94 : 7,047.09 = 1,578.05 : x
  2. Step 2: Convert to fraction form
    4,697.94/7,047.09 = 1,578.05/x
  3. Step 3: Cross multiply
    4,697.94x = 7,047.09 × 1,578.05
  4. Step 4: Simplify right side
    4,697.94x = 11,120,672.07
  5. Step 5: Solve for x
    x = 11,120,672.07/4,697.94
  6. Step 6: Final answer
    x = 2,367.14

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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.