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Finding the Fourth Proportional to 5,729.51, 8,633.30 and 4,712.30

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Solution

The fourth proportional to 5,729.51, 8,633.30 and 4,712.30 is: 7,100.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.51 : 8,633.30 = 4,712.30 : x
  2. Step 2: Convert to fraction form
    5,729.51/8,633.30 = 4,712.30/x
  3. Step 3: Cross multiply
    5,729.51x = 8,633.30 × 4,712.30
  4. Step 4: Simplify right side
    5,729.51x = 40,682,699.59
  5. Step 5: Solve for x
    x = 40,682,699.59/5,729.51
  6. Step 6: Final answer
    x = 7,100.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.