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Finding the Fourth Proportional to 5,905.67, 8,854.10 and 2,783.90

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Solution

The fourth proportional to 5,905.67, 8,854.10 and 2,783.90 is: 4,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.67 : 8,854.10 = 2,783.90 : x
  2. Step 2: Convert to fraction form
    5,905.67/8,854.10 = 2,783.90/x
  3. Step 3: Cross multiply
    5,905.67x = 8,854.10 × 2,783.90
  4. Step 4: Simplify right side
    5,905.67x = 24,648,914.66
  5. Step 5: Solve for x
    x = 24,648,914.66/5,905.67
  6. Step 6: Final answer
    x = 4,173.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.