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Finding the Fourth Proportional to 3,925.32, 5,416.84 and 2,156.88

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Solution

The fourth proportional to 3,925.32, 5,416.84 and 2,156.88 is: 2,976.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.32 : 5,416.84 = 2,156.88 : x
  2. Step 2: Convert to fraction form
    3,925.32/5,416.84 = 2,156.88/x
  3. Step 3: Cross multiply
    3,925.32x = 5,416.84 × 2,156.88
  4. Step 4: Simplify right side
    3,925.32x = 11,683,473.86
  5. Step 5: Solve for x
    x = 11,683,473.86/3,925.32
  6. Step 6: Final answer
    x = 2,976.44

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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.