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Finding the Fourth Proportional to 4,738.64, 7,107.84 and 1,275.90

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Solution

The fourth proportional to 4,738.64, 7,107.84 and 1,275.90 is: 1,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,738.64 : 7,107.84 = 1,275.90 : x
  2. Step 2: Convert to fraction form
    4,738.64/7,107.84 = 1,275.90/x
  3. Step 3: Cross multiply
    4,738.64x = 7,107.84 × 1,275.90
  4. Step 4: Simplify right side
    4,738.64x = 9,068,893.06
  5. Step 5: Solve for x
    x = 9,068,893.06/4,738.64
  6. Step 6: Final answer
    x = 1,913.82

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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.