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Finding the Fourth Proportional to 5,202.65, 7,814.70 and 4,978.08

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Solution

The fourth proportional to 5,202.65, 7,814.70 and 4,978.08 is: 7,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,202.65 : 7,814.70 = 4,978.08 : x
  2. Step 2: Convert to fraction form
    5,202.65/7,814.70 = 4,978.08/x
  3. Step 3: Cross multiply
    5,202.65x = 7,814.70 × 4,978.08
  4. Step 4: Simplify right side
    5,202.65x = 38,902,201.78
  5. Step 5: Solve for x
    x = 38,902,201.78/5,202.65
  6. Step 6: Final answer
    x = 7,477.39

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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.