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Finding the Fourth Proportional to 5,773, 8,660.94 and 1,669

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Solution

The fourth proportional to 5,773, 8,660.94 and 1,669 is: 2,503.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773 : 8,660.94 = 1,669 : x
  2. Step 2: Convert to fraction form
    5,773/8,660.94 = 1,669/x
  3. Step 3: Cross multiply
    5,773x = 8,660.94 × 1,669
  4. Step 4: Simplify right side
    5,773x = 14,455,108.86
  5. Step 5: Solve for x
    x = 14,455,108.86/5,773
  6. Step 6: Final answer
    x = 2,503.92

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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.