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Finding the Fourth Proportional to 4,672.64, 7,011.36 and 2,077.44

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Solution

The fourth proportional to 4,672.64, 7,011.36 and 2,077.44 is: 3,117.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.64 : 7,011.36 = 2,077.44 : x
  2. Step 2: Convert to fraction form
    4,672.64/7,011.36 = 2,077.44/x
  3. Step 3: Cross multiply
    4,672.64x = 7,011.36 × 2,077.44
  4. Step 4: Simplify right side
    4,672.64x = 14,565,679.72
  5. Step 5: Solve for x
    x = 14,565,679.72/4,672.64
  6. Step 6: Final answer
    x = 3,117.23

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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.