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Finding the Fourth Proportional to 5,977.11, 8,978.64 and 5,054.52

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Solution

The fourth proportional to 5,977.11, 8,978.64 and 5,054.52 is: 7,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977.11 : 8,978.64 = 5,054.52 : x
  2. Step 2: Convert to fraction form
    5,977.11/8,978.64 = 5,054.52/x
  3. Step 3: Cross multiply
    5,977.11x = 8,978.64 × 5,054.52
  4. Step 4: Simplify right side
    5,977.11x = 45,382,715.45
  5. Step 5: Solve for x
    x = 45,382,715.45/5,977.11
  6. Step 6: Final answer
    x = 7,592.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.