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Finding the Fourth Proportional to 4,809, 6,637.64 and 2,714.34

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Solution

The fourth proportional to 4,809, 6,637.64 and 2,714.34 is: 3,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809 : 6,637.64 = 2,714.34 : x
  2. Step 2: Convert to fraction form
    4,809/6,637.64 = 2,714.34/x
  3. Step 3: Cross multiply
    4,809x = 6,637.64 × 2,714.34
  4. Step 4: Simplify right side
    4,809x = 18,016,811.76
  5. Step 5: Solve for x
    x = 18,016,811.76/4,809
  6. Step 6: Final answer
    x = 3,746.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.