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Finding the Fourth Proportional to 4,752.21, 6,549.33 and 3,156

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Solution

The fourth proportional to 4,752.21, 6,549.33 and 3,156 is: 4,349.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.21 : 6,549.33 = 3,156 : x
  2. Step 2: Convert to fraction form
    4,752.21/6,549.33 = 3,156/x
  3. Step 3: Cross multiply
    4,752.21x = 6,549.33 × 3,156
  4. Step 4: Simplify right side
    4,752.21x = 20,669,685.48
  5. Step 5: Solve for x
    x = 20,669,685.48/4,752.21
  6. Step 6: Final answer
    x = 4,349.49

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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.