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Finding the Fourth Proportional to 5,974.89, 8,918.36 and 5,200.35

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Solution

The fourth proportional to 5,974.89, 8,918.36 and 5,200.35 is: 7,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.89 : 8,918.36 = 5,200.35 : x
  2. Step 2: Convert to fraction form
    5,974.89/8,918.36 = 5,200.35/x
  3. Step 3: Cross multiply
    5,974.89x = 8,918.36 × 5,200.35
  4. Step 4: Simplify right side
    5,974.89x = 46,378,567.42
  5. Step 5: Solve for x
    x = 46,378,567.42/5,974.89
  6. Step 6: Final answer
    x = 7,762.25

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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.