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Finding the Fourth Proportional to 5,924, 8,886 and 1,820

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Solution

The fourth proportional to 5,924, 8,886 and 1,820 is: 2,730

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924 : 8,886 = 1,820 : x
  2. Step 2: Convert to fraction form
    5,924/8,886 = 1,820/x
  3. Step 3: Cross multiply
    5,924x = 8,886 × 1,820
  4. Step 4: Simplify right side
    5,924x = 16,172,520
  5. Step 5: Solve for x
    x = 16,172,520/5,924
  6. Step 6: Final answer
    x = 2,730

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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.