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Finding the Fourth Proportional to 3,858.93, 5,783.74 and 1,776.08

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Solution

The fourth proportional to 3,858.93, 5,783.74 and 1,776.08 is: 2,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.93 : 5,783.74 = 1,776.08 : x
  2. Step 2: Convert to fraction form
    3,858.93/5,783.74 = 1,776.08/x
  3. Step 3: Cross multiply
    3,858.93x = 5,783.74 × 1,776.08
  4. Step 4: Simplify right side
    3,858.93x = 10,272,384.94
  5. Step 5: Solve for x
    x = 10,272,384.94/3,858.93
  6. Step 6: Final answer
    x = 2,661.98

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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.