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Finding the Fourth Proportional to 5,783.27, 7,950.08 and 5,746.82

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Solution

The fourth proportional to 5,783.27, 7,950.08 and 5,746.82 is: 7,899.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.27 : 7,950.08 = 5,746.82 : x
  2. Step 2: Convert to fraction form
    5,783.27/7,950.08 = 5,746.82/x
  3. Step 3: Cross multiply
    5,783.27x = 7,950.08 × 5,746.82
  4. Step 4: Simplify right side
    5,783.27x = 45,687,653.36
  5. Step 5: Solve for x
    x = 45,687,653.36/5,783.27
  6. Step 6: Final answer
    x = 7,899.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.