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Finding the Fourth Proportional to 4,264.32, 5,885.84 and 3,821.44

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Solution

The fourth proportional to 4,264.32, 5,885.84 and 3,821.44 is: 5,274.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,264.32 : 5,885.84 = 3,821.44 : x
  2. Step 2: Convert to fraction form
    4,264.32/5,885.84 = 3,821.44/x
  3. Step 3: Cross multiply
    4,264.32x = 5,885.84 × 3,821.44
  4. Step 4: Simplify right side
    4,264.32x = 22,492,384.41
  5. Step 5: Solve for x
    x = 22,492,384.41/4,264.32
  6. Step 6: Final answer
    x = 5,274.55

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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.