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Finding the Fourth Proportional to 4,865.96, 6,714.35 and 2,741.13

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Solution

The fourth proportional to 4,865.96, 6,714.35 and 2,741.13 is: 3,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.96 : 6,714.35 = 2,741.13 : x
  2. Step 2: Convert to fraction form
    4,865.96/6,714.35 = 2,741.13/x
  3. Step 3: Cross multiply
    4,865.96x = 6,714.35 × 2,741.13
  4. Step 4: Simplify right side
    4,865.96x = 18,404,892.51
  5. Step 5: Solve for x
    x = 18,404,892.51/4,865.96
  6. Step 6: Final answer
    x = 3,782.38

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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.