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Finding the Fourth Proportional to 4,259.13, 6,383.28 and 1,916.62

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Solution

The fourth proportional to 4,259.13, 6,383.28 and 1,916.62 is: 2,872.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.13 : 6,383.28 = 1,916.62 : x
  2. Step 2: Convert to fraction form
    4,259.13/6,383.28 = 1,916.62/x
  3. Step 3: Cross multiply
    4,259.13x = 6,383.28 × 1,916.62
  4. Step 4: Simplify right side
    4,259.13x = 12,234,322.11
  5. Step 5: Solve for x
    x = 12,234,322.11/4,259.13
  6. Step 6: Final answer
    x = 2,872.49

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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.