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Finding the Fourth Proportional to 4,750.64, 7,125.12 and 1,287.44

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Solution

The fourth proportional to 4,750.64, 7,125.12 and 1,287.44 is: 1,930.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,750.64 : 7,125.12 = 1,287.44 : x
  2. Step 2: Convert to fraction form
    4,750.64/7,125.12 = 1,287.44/x
  3. Step 3: Cross multiply
    4,750.64x = 7,125.12 × 1,287.44
  4. Step 4: Simplify right side
    4,750.64x = 9,173,164.49
  5. Step 5: Solve for x
    x = 9,173,164.49/4,750.64
  6. Step 6: Final answer
    x = 1,930.93

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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.