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Finding the Fourth Proportional to 4,788.26, 7,182.41 and 1,456.55

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Solution

The fourth proportional to 4,788.26, 7,182.41 and 1,456.55 is: 2,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.26 : 7,182.41 = 1,456.55 : x
  2. Step 2: Convert to fraction form
    4,788.26/7,182.41 = 1,456.55/x
  3. Step 3: Cross multiply
    4,788.26x = 7,182.41 × 1,456.55
  4. Step 4: Simplify right side
    4,788.26x = 10,461,539.29
  5. Step 5: Solve for x
    x = 10,461,539.29/4,788.26
  6. Step 6: Final answer
    x = 2,184.83

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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.