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Finding the Fourth Proportional to 5,464.86, 7,541.49 and 2,980.86

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Solution

The fourth proportional to 5,464.86, 7,541.49 and 2,980.86 is: 4,113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.86 : 7,541.49 = 2,980.86 : x
  2. Step 2: Convert to fraction form
    5,464.86/7,541.49 = 2,980.86/x
  3. Step 3: Cross multiply
    5,464.86x = 7,541.49 × 2,980.86
  4. Step 4: Simplify right side
    5,464.86x = 22,480,125.88
  5. Step 5: Solve for x
    x = 22,480,125.88/5,464.86
  6. Step 6: Final answer
    x = 4,113.58

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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.