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Finding the Fourth Proportional to 4,865.58, 6,714.12 and 2,741.02

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Solution

The fourth proportional to 4,865.58, 6,714.12 and 2,741.02 is: 3,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,865.58 : 6,714.12 = 2,741.02 : x
  2. Step 2: Convert to fraction form
    4,865.58/6,714.12 = 2,741.02/x
  3. Step 3: Cross multiply
    4,865.58x = 6,714.12 × 2,741.02
  4. Step 4: Simplify right side
    4,865.58x = 18,403,489.93
  5. Step 5: Solve for x
    x = 18,403,489.93/4,865.58
  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.