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Finding the Fourth Proportional to 5,689.53, 7,852.05 and 3,300.39

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Solution

The fourth proportional to 5,689.53, 7,852.05 and 3,300.39 is: 4,554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,689.53 : 7,852.05 = 3,300.39 : x
  2. Step 2: Convert to fraction form
    5,689.53/7,852.05 = 3,300.39/x
  3. Step 3: Cross multiply
    5,689.53x = 7,852.05 × 3,300.39
  4. Step 4: Simplify right side
    5,689.53x = 25,914,827.30
  5. Step 5: Solve for x
    x = 25,914,827.30/5,689.53
  6. Step 6: Final answer
    x = 4,554.83

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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.