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Finding the Fourth Proportional to 5,118, 7,677 and 1,470

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Solution

The fourth proportional to 5,118, 7,677 and 1,470 is: 2,205

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,118 : 7,677 = 1,470 : x
  2. Step 2: Convert to fraction form
    5,118/7,677 = 1,470/x
  3. Step 3: Cross multiply
    5,118x = 7,677 × 1,470
  4. Step 4: Simplify right side
    5,118x = 11,285,190
  5. Step 5: Solve for x
    x = 11,285,190/5,118
  6. Step 6: Final answer
    x = 2,205

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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.