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Finding the Fourth Proportional to 5,407.56, 8,125.01 and 5,188.86

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Solution

The fourth proportional to 5,407.56, 8,125.01 and 5,188.86 is: 7,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.56 : 8,125.01 = 5,188.86 : x
  2. Step 2: Convert to fraction form
    5,407.56/8,125.01 = 5,188.86/x
  3. Step 3: Cross multiply
    5,407.56x = 8,125.01 × 5,188.86
  4. Step 4: Simplify right side
    5,407.56x = 42,159,532.90
  5. Step 5: Solve for x
    x = 42,159,532.90/5,407.56
  6. Step 6: Final answer
    x = 7,796.41

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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.