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Finding the Fourth Proportional to 5,237.82, 7,821.36 and 5,207.04

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Solution

The fourth proportional to 5,237.82, 7,821.36 and 5,207.04 is: 7,775.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.82 : 7,821.36 = 5,207.04 : x
  2. Step 2: Convert to fraction form
    5,237.82/7,821.36 = 5,207.04/x
  3. Step 3: Cross multiply
    5,237.82x = 7,821.36 × 5,207.04
  4. Step 4: Simplify right side
    5,237.82x = 40,726,134.37
  5. Step 5: Solve for x
    x = 40,726,134.37/5,237.82
  6. Step 6: Final answer
    x = 7,775.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.