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Finding the Fourth Proportional to 5,208.96, 7,801.81 and 4,030.94

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Solution

The fourth proportional to 5,208.96, 7,801.81 and 4,030.94 is: 6,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.96 : 7,801.81 = 4,030.94 : x
  2. Step 2: Convert to fraction form
    5,208.96/7,801.81 = 4,030.94/x
  3. Step 3: Cross multiply
    5,208.96x = 7,801.81 × 4,030.94
  4. Step 4: Simplify right side
    5,208.96x = 31,448,628.00
  5. Step 5: Solve for x
    x = 31,448,628.00/5,208.96
  6. Step 6: Final answer
    x = 6,037.41

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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.