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Finding the Fourth Proportional to 5,129.04, 7,693.56 and 1,842.14

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Solution

The fourth proportional to 5,129.04, 7,693.56 and 1,842.14 is: 2,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.04 : 7,693.56 = 1,842.14 : x
  2. Step 2: Convert to fraction form
    5,129.04/7,693.56 = 1,842.14/x
  3. Step 3: Cross multiply
    5,129.04x = 7,693.56 × 1,842.14
  4. Step 4: Simplify right side
    5,129.04x = 14,172,566.94
  5. Step 5: Solve for x
    x = 14,172,566.94/5,129.04
  6. Step 6: Final answer
    x = 2,763.20

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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.