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Finding the Fourth Proportional to 4,842.98, 7,262.08 and 1,722.53

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Solution

The fourth proportional to 4,842.98, 7,262.08 and 1,722.53 is: 2,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.98 : 7,262.08 = 1,722.53 : x
  2. Step 2: Convert to fraction form
    4,842.98/7,262.08 = 1,722.53/x
  3. Step 3: Cross multiply
    4,842.98x = 7,262.08 × 1,722.53
  4. Step 4: Simplify right side
    4,842.98x = 12,509,114.35
  5. Step 5: Solve for x
    x = 12,509,114.35/4,842.98
  6. Step 6: Final answer
    x = 2,582.94

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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.