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Finding the Fourth Proportional to 5,072.77, 7,606.42 and 1,783.38

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Solution

The fourth proportional to 5,072.77, 7,606.42 and 1,783.38 is: 2,674.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.77 : 7,606.42 = 1,783.38 : x
  2. Step 2: Convert to fraction form
    5,072.77/7,606.42 = 1,783.38/x
  3. Step 3: Cross multiply
    5,072.77x = 7,606.42 × 1,783.38
  4. Step 4: Simplify right side
    5,072.77x = 13,565,132.84
  5. Step 5: Solve for x
    x = 13,565,132.84/5,072.77
  6. Step 6: Final answer
    x = 2,674.11

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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.