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Finding the Fourth Proportional to 5,051.52, 7,520.94 and 4,978.68

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Solution

The fourth proportional to 5,051.52, 7,520.94 and 4,978.68 is: 7,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,051.52 : 7,520.94 = 4,978.68 : x
  2. Step 2: Convert to fraction form
    5,051.52/7,520.94 = 4,978.68/x
  3. Step 3: Cross multiply
    5,051.52x = 7,520.94 × 4,978.68
  4. Step 4: Simplify right side
    5,051.52x = 37,444,353.56
  5. Step 5: Solve for x
    x = 37,444,353.56/5,051.52
  6. Step 6: Final answer
    x = 7,412.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.