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Finding the Fourth Proportional to 5,156.54, 7,730.16 and 1,868.87

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Solution

The fourth proportional to 5,156.54, 7,730.16 and 1,868.87 is: 2,801.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.54 : 7,730.16 = 1,868.87 : x
  2. Step 2: Convert to fraction form
    5,156.54/7,730.16 = 1,868.87/x
  3. Step 3: Cross multiply
    5,156.54x = 7,730.16 × 1,868.87
  4. Step 4: Simplify right side
    5,156.54x = 14,446,664.12
  5. Step 5: Solve for x
    x = 14,446,664.12/5,156.54
  6. Step 6: Final answer
    x = 2,801.62

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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.