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Finding the Fourth Proportional to 5,877, 8,815.50 and 1,773

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Solution

The fourth proportional to 5,877, 8,815.50 and 1,773 is: 2,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877 : 8,815.50 = 1,773 : x
  2. Step 2: Convert to fraction form
    5,877/8,815.50 = 1,773/x
  3. Step 3: Cross multiply
    5,877x = 8,815.50 × 1,773
  4. Step 4: Simplify right side
    5,877x = 15,629,881.50
  5. Step 5: Solve for x
    x = 15,629,881.50/5,877
  6. Step 6: Final answer
    x = 2,659.50

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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.