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Finding the Fourth Proportional to 5,204.70, 7,802.26 and 1,915.29

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Solution

The fourth proportional to 5,204.70, 7,802.26 and 1,915.29 is: 2,871.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.70 : 7,802.26 = 1,915.29 : x
  2. Step 2: Convert to fraction form
    5,204.70/7,802.26 = 1,915.29/x
  3. Step 3: Cross multiply
    5,204.70x = 7,802.26 × 1,915.29
  4. Step 4: Simplify right side
    5,204.70x = 14,943,590.56
  5. Step 5: Solve for x
    x = 14,943,590.56/5,204.70
  6. Step 6: Final answer
    x = 2,871.17

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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.