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Finding the Fourth Proportional to 3,133.49, 4,700.84 and 1,053.41

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Solution

The fourth proportional to 3,133.49, 4,700.84 and 1,053.41 is: 1,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.49 : 4,700.84 = 1,053.41 : x
  2. Step 2: Convert to fraction form
    3,133.49/4,700.84 = 1,053.41/x
  3. Step 3: Cross multiply
    3,133.49x = 4,700.84 × 1,053.41
  4. Step 4: Simplify right side
    3,133.49x = 4,951,883.09
  5. Step 5: Solve for x
    x = 4,951,883.09/3,133.49
  6. Step 6: Final answer
    x = 1,580.31

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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.