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Finding the Fourth Proportional to 5,464.88, 7,541.54 and 2,980.88

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Solution

The fourth proportional to 5,464.88, 7,541.54 and 2,980.88 is: 4,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.88 : 7,541.54 = 2,980.88 : x
  2. Step 2: Convert to fraction form
    5,464.88/7,541.54 = 2,980.88/x
  3. Step 3: Cross multiply
    5,464.88x = 7,541.54 × 2,980.88
  4. Step 4: Simplify right side
    5,464.88x = 22,480,373.14
  5. Step 5: Solve for x
    x = 22,480,373.14/5,464.88
  6. Step 6: Final answer
    x = 4,113.61

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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.