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Finding the Fourth Proportional to 5,142.96, 7,712.58 and 1,855.17

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Solution

The fourth proportional to 5,142.96, 7,712.58 and 1,855.17 is: 2,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.96 : 7,712.58 = 1,855.17 : x
  2. Step 2: Convert to fraction form
    5,142.96/7,712.58 = 1,855.17/x
  3. Step 3: Cross multiply
    5,142.96x = 7,712.58 × 1,855.17
  4. Step 4: Simplify right side
    5,142.96x = 14,308,147.04
  5. Step 5: Solve for x
    x = 14,308,147.04/5,142.96
  6. Step 6: Final answer
    x = 2,782.08

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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.