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Finding the Fourth Proportional to 5,381.86, 7,425.63 and 3,142.45

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Solution

The fourth proportional to 5,381.86, 7,425.63 and 3,142.45 is: 4,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.86 : 7,425.63 = 3,142.45 : x
  2. Step 2: Convert to fraction form
    5,381.86/7,425.63 = 3,142.45/x
  3. Step 3: Cross multiply
    5,381.86x = 7,425.63 × 3,142.45
  4. Step 4: Simplify right side
    5,381.86x = 23,334,670.99
  5. Step 5: Solve for x
    x = 23,334,670.99/5,381.86
  6. Step 6: Final answer
    x = 4,335.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.