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Finding the Fourth Proportional to 5,460.86, 7,536.30 and 5,144.96

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Solution

The fourth proportional to 5,460.86, 7,536.30 and 5,144.96 is: 7,100.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.86 : 7,536.30 = 5,144.96 : x
  2. Step 2: Convert to fraction form
    5,460.86/7,536.30 = 5,144.96/x
  3. Step 3: Cross multiply
    5,460.86x = 7,536.30 × 5,144.96
  4. Step 4: Simplify right side
    5,460.86x = 38,773,962.05
  5. Step 5: Solve for x
    x = 38,773,962.05/5,460.86
  6. Step 6: Final answer
    x = 7,100.34

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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.