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Finding the Fourth Proportional to 5,188.54, 7,763.32 and 4,907.20

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Solution

The fourth proportional to 5,188.54, 7,763.32 and 4,907.20 is: 7,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.54 : 7,763.32 = 4,907.20 : x
  2. Step 2: Convert to fraction form
    5,188.54/7,763.32 = 4,907.20/x
  3. Step 3: Cross multiply
    5,188.54x = 7,763.32 × 4,907.20
  4. Step 4: Simplify right side
    5,188.54x = 38,096,100.55
  5. Step 5: Solve for x
    x = 38,096,100.55/5,188.54
  6. Step 6: Final answer
    x = 7,342.36

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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.