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Finding the Fourth Proportional to 5,205.26, 7,805.64 and 1,506.62

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Solution

The fourth proportional to 5,205.26, 7,805.64 and 1,506.62 is: 2,259.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,205.26 : 7,805.64 = 1,506.62 : x
  2. Step 2: Convert to fraction form
    5,205.26/7,805.64 = 1,506.62/x
  3. Step 3: Cross multiply
    5,205.26x = 7,805.64 × 1,506.62
  4. Step 4: Simplify right side
    5,205.26x = 11,760,133.34
  5. Step 5: Solve for x
    x = 11,760,133.34/5,205.26
  6. Step 6: Final answer
    x = 2,259.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.