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Finding the Fourth Proportional to 4,632.28, 6,948.42 and 1,556.44

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Solution

The fourth proportional to 4,632.28, 6,948.42 and 1,556.44 is: 2,334.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.28 : 6,948.42 = 1,556.44 : x
  2. Step 2: Convert to fraction form
    4,632.28/6,948.42 = 1,556.44/x
  3. Step 3: Cross multiply
    4,632.28x = 6,948.42 × 1,556.44
  4. Step 4: Simplify right side
    4,632.28x = 10,814,798.82
  5. Step 5: Solve for x
    x = 10,814,798.82/4,632.28
  6. Step 6: Final answer
    x = 2,334.66

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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.