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Finding the Fourth Proportional to 4,784.43, 6,604.02 and 4,412.64

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Solution

The fourth proportional to 4,784.43, 6,604.02 and 4,412.64 is: 6,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.43 : 6,604.02 = 4,412.64 : x
  2. Step 2: Convert to fraction form
    4,784.43/6,604.02 = 4,412.64/x
  3. Step 3: Cross multiply
    4,784.43x = 6,604.02 × 4,412.64
  4. Step 4: Simplify right side
    4,784.43x = 29,141,162.81
  5. Step 5: Solve for x
    x = 29,141,162.81/4,784.43
  6. Step 6: Final answer
    x = 6,090.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.