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Finding the Fourth Proportional to 5,156.71, 7,735.06 and 2,964.04

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Solution

The fourth proportional to 5,156.71, 7,735.06 and 2,964.04 is: 4,446.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.71 : 7,735.06 = 2,964.04 : x
  2. Step 2: Convert to fraction form
    5,156.71/7,735.06 = 2,964.04/x
  3. Step 3: Cross multiply
    5,156.71x = 7,735.06 × 2,964.04
  4. Step 4: Simplify right side
    5,156.71x = 22,927,000.49
  5. Step 5: Solve for x
    x = 22,927,000.49/5,156.71
  6. Step 6: Final answer
    x = 4,446.05

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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.