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Finding the Fourth Proportional to 5,783.42, 8,677.77 and 3,146.97

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Solution

The fourth proportional to 5,783.42, 8,677.77 and 3,146.97 is: 4,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.42 : 8,677.77 = 3,146.97 : x
  2. Step 2: Convert to fraction form
    5,783.42/8,677.77 = 3,146.97/x
  3. Step 3: Cross multiply
    5,783.42x = 8,677.77 × 3,146.97
  4. Step 4: Simplify right side
    5,783.42x = 27,308,681.86
  5. Step 5: Solve for x
    x = 27,308,681.86/5,783.42
  6. Step 6: Final answer
    x = 4,721.90

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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.