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Finding the Fourth Proportional to 4,698.44, 7,050 and 1,927.16

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Solution

The fourth proportional to 4,698.44, 7,050 and 1,927.16 is: 2,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.44 : 7,050 = 1,927.16 : x
  2. Step 2: Convert to fraction form
    4,698.44/7,050 = 1,927.16/x
  3. Step 3: Cross multiply
    4,698.44x = 7,050 × 1,927.16
  4. Step 4: Simplify right side
    4,698.44x = 13,586,478
  5. Step 5: Solve for x
    x = 13,586,478/4,698.44
  6. Step 6: Final answer
    x = 2,891.70

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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.