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Finding the Fourth Proportional to 5,117.98, 7,678.59 and 1,831

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Solution

The fourth proportional to 5,117.98, 7,678.59 and 1,831 is: 2,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.98 : 7,678.59 = 1,831 : x
  2. Step 2: Convert to fraction form
    5,117.98/7,678.59 = 1,831/x
  3. Step 3: Cross multiply
    5,117.98x = 7,678.59 × 1,831
  4. Step 4: Simplify right side
    5,117.98x = 14,059,498.29
  5. Step 5: Solve for x
    x = 14,059,498.29/5,117.98
  6. Step 6: Final answer
    x = 2,747.08

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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.