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Finding the Fourth Proportional to 5,241.33, 7,851.99 and 5,065.50

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Solution

The fourth proportional to 5,241.33, 7,851.99 and 5,065.50 is: 7,588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,241.33 : 7,851.99 = 5,065.50 : x
  2. Step 2: Convert to fraction form
    5,241.33/7,851.99 = 5,065.50/x
  3. Step 3: Cross multiply
    5,241.33x = 7,851.99 × 5,065.50
  4. Step 4: Simplify right side
    5,241.33x = 39,774,255.35
  5. Step 5: Solve for x
    x = 39,774,255.35/5,241.33
  6. Step 6: Final answer
    x = 7,588.58

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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.