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Finding the Fourth Proportional to 4,842.14, 7,260.17 and 2,030.22

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Solution

The fourth proportional to 4,842.14, 7,260.17 and 2,030.22 is: 3,044.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.14 : 7,260.17 = 2,030.22 : x
  2. Step 2: Convert to fraction form
    4,842.14/7,260.17 = 2,030.22/x
  3. Step 3: Cross multiply
    4,842.14x = 7,260.17 × 2,030.22
  4. Step 4: Simplify right side
    4,842.14x = 14,739,742.34
  5. Step 5: Solve for x
    x = 14,739,742.34/4,842.14
  6. Step 6: Final answer
    x = 3,044.06

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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.