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Finding the Fourth Proportional to 4,833.64, 7,251.64 and 1,370.88

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Solution

The fourth proportional to 4,833.64, 7,251.64 and 1,370.88 is: 2,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.64 : 7,251.64 = 1,370.88 : x
  2. Step 2: Convert to fraction form
    4,833.64/7,251.64 = 1,370.88/x
  3. Step 3: Cross multiply
    4,833.64x = 7,251.64 × 1,370.88
  4. Step 4: Simplify right side
    4,833.64x = 9,941,128.24
  5. Step 5: Solve for x
    x = 9,941,128.24/4,833.64
  6. Step 6: Final answer
    x = 2,056.65

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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.