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Finding the Fourth Proportional to 5,462.08, 7,537.60 and 2,978.08

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Solution

The fourth proportional to 5,462.08, 7,537.60 and 2,978.08 is: 4,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.08 : 7,537.60 = 2,978.08 : x
  2. Step 2: Convert to fraction form
    5,462.08/7,537.60 = 2,978.08/x
  3. Step 3: Cross multiply
    5,462.08x = 7,537.60 × 2,978.08
  4. Step 4: Simplify right side
    5,462.08x = 22,447,575.81
  5. Step 5: Solve for x
    x = 22,447,575.81/5,462.08
  6. Step 6: Final answer
    x = 4,109.71

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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.