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Finding the Fourth Proportional to 5,113.88, 7,670.80 and 1,604.16

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Solution

The fourth proportional to 5,113.88, 7,670.80 and 1,604.16 is: 2,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113.88 : 7,670.80 = 1,604.16 : x
  2. Step 2: Convert to fraction form
    5,113.88/7,670.80 = 1,604.16/x
  3. Step 3: Cross multiply
    5,113.88x = 7,670.80 × 1,604.16
  4. Step 4: Simplify right side
    5,113.88x = 12,305,190.53
  5. Step 5: Solve for x
    x = 12,305,190.53/5,113.88
  6. Step 6: Final answer
    x = 2,406.23

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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.