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Finding the Fourth Proportional to 5,143.86, 7,098.53 and 2,786

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Solution

The fourth proportional to 5,143.86, 7,098.53 and 2,786 is: 3,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.86 : 7,098.53 = 2,786 : x
  2. Step 2: Convert to fraction form
    5,143.86/7,098.53 = 2,786/x
  3. Step 3: Cross multiply
    5,143.86x = 7,098.53 × 2,786
  4. Step 4: Simplify right side
    5,143.86x = 19,776,504.58
  5. Step 5: Solve for x
    x = 19,776,504.58/5,143.86
  6. Step 6: Final answer
    x = 3,844.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.