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Finding the Fourth Proportional to 5,953.26, 8,921.10 and 4,077.30

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Solution

The fourth proportional to 5,953.26, 8,921.10 and 4,077.30 is: 6,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.26 : 8,921.10 = 4,077.30 : x
  2. Step 2: Convert to fraction form
    5,953.26/8,921.10 = 4,077.30/x
  3. Step 3: Cross multiply
    5,953.26x = 8,921.10 × 4,077.30
  4. Step 4: Simplify right side
    5,953.26x = 36,374,001.03
  5. Step 5: Solve for x
    x = 36,374,001.03/5,953.26
  6. Step 6: Final answer
    x = 6,109.93

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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.