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Finding the Fourth Proportional to 4,871.48, 7,308.30 and 2,273

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Solution

The fourth proportional to 4,871.48, 7,308.30 and 2,273 is: 3,410.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.48 : 7,308.30 = 2,273 : x
  2. Step 2: Convert to fraction form
    4,871.48/7,308.30 = 2,273/x
  3. Step 3: Cross multiply
    4,871.48x = 7,308.30 × 2,273
  4. Step 4: Simplify right side
    4,871.48x = 16,611,765.90
  5. Step 5: Solve for x
    x = 16,611,765.90/4,871.48
  6. Step 6: Final answer
    x = 3,410.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.