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Finding the Fourth Proportional to 6,125.84, 8,456.52 and 3,607.14

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Solution

The fourth proportional to 6,125.84, 8,456.52 and 3,607.14 is: 4,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.84 : 8,456.52 = 3,607.14 : x
  2. Step 2: Convert to fraction form
    6,125.84/8,456.52 = 3,607.14/x
  3. Step 3: Cross multiply
    6,125.84x = 8,456.52 × 3,607.14
  4. Step 4: Simplify right side
    6,125.84x = 30,503,851.55
  5. Step 5: Solve for x
    x = 30,503,851.55/6,125.84
  6. Step 6: Final answer
    x = 4,979.54

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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.