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Finding the Fourth Proportional to 4,634.72, 6,950.64 and 1,556

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Solution

The fourth proportional to 4,634.72, 6,950.64 and 1,556 is: 2,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.72 : 6,950.64 = 1,556 : x
  2. Step 2: Convert to fraction form
    4,634.72/6,950.64 = 1,556/x
  3. Step 3: Cross multiply
    4,634.72x = 6,950.64 × 1,556
  4. Step 4: Simplify right side
    4,634.72x = 10,815,195.84
  5. Step 5: Solve for x
    x = 10,815,195.84/4,634.72
  6. Step 6: Final answer
    x = 2,333.52

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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.