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Finding the Fourth Proportional to 4,291.24, 5,916.90 and 3,980.20

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Solution

The fourth proportional to 4,291.24, 5,916.90 and 3,980.20 is: 5,488.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.24 : 5,916.90 = 3,980.20 : x
  2. Step 2: Convert to fraction form
    4,291.24/5,916.90 = 3,980.20/x
  3. Step 3: Cross multiply
    4,291.24x = 5,916.90 × 3,980.20
  4. Step 4: Simplify right side
    4,291.24x = 23,550,445.38
  5. Step 5: Solve for x
    x = 23,550,445.38/4,291.24
  6. Step 6: Final answer
    x = 5,488.03

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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.