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Finding the Fourth Proportional to 4,672.08, 7,001.40 and 2,697.64

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Solution

The fourth proportional to 4,672.08, 7,001.40 and 2,697.64 is: 4,042.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.08 : 7,001.40 = 2,697.64 : x
  2. Step 2: Convert to fraction form
    4,672.08/7,001.40 = 2,697.64/x
  3. Step 3: Cross multiply
    4,672.08x = 7,001.40 × 2,697.64
  4. Step 4: Simplify right side
    4,672.08x = 18,887,256.70
  5. Step 5: Solve for x
    x = 18,887,256.70/4,672.08
  6. Step 6: Final answer
    x = 4,042.58

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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.