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Finding the Fourth Proportional to 5,920.68, 8,176.62 and 4,916.03

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Solution

The fourth proportional to 5,920.68, 8,176.62 and 4,916.03 is: 6,789.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,920.68 : 8,176.62 = 4,916.03 : x
  2. Step 2: Convert to fraction form
    5,920.68/8,176.62 = 4,916.03/x
  3. Step 3: Cross multiply
    5,920.68x = 8,176.62 × 4,916.03
  4. Step 4: Simplify right side
    5,920.68x = 40,196,509.22
  5. Step 5: Solve for x
    x = 40,196,509.22/5,920.68
  6. Step 6: Final answer
    x = 6,789.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.