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Finding the Fourth Proportional to 3,953.76, 5,925.34 and 3,077.32

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Solution

The fourth proportional to 3,953.76, 5,925.34 and 3,077.32 is: 4,611.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,953.76 : 5,925.34 = 3,077.32 : x
  2. Step 2: Convert to fraction form
    3,953.76/5,925.34 = 3,077.32/x
  3. Step 3: Cross multiply
    3,953.76x = 5,925.34 × 3,077.32
  4. Step 4: Simplify right side
    3,953.76x = 18,234,167.29
  5. Step 5: Solve for x
    x = 18,234,167.29/3,953.76
  6. Step 6: Final answer
    x = 4,611.85

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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.