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Finding the Fourth Proportional to 4,551, 6,827.58 and 1,473

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Solution

The fourth proportional to 4,551, 6,827.58 and 1,473 is: 2,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551 : 6,827.58 = 1,473 : x
  2. Step 2: Convert to fraction form
    4,551/6,827.58 = 1,473/x
  3. Step 3: Cross multiply
    4,551x = 6,827.58 × 1,473
  4. Step 4: Simplify right side
    4,551x = 10,057,025.34
  5. Step 5: Solve for x
    x = 10,057,025.34/4,551
  6. Step 6: Final answer
    x = 2,209.85

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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.