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Finding the Fourth Proportional to 5,945.46, 8,905.14 and 4,903.08

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Solution

The fourth proportional to 5,945.46, 8,905.14 and 4,903.08 is: 7,343.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.46 : 8,905.14 = 4,903.08 : x
  2. Step 2: Convert to fraction form
    5,945.46/8,905.14 = 4,903.08/x
  3. Step 3: Cross multiply
    5,945.46x = 8,905.14 × 4,903.08
  4. Step 4: Simplify right side
    5,945.46x = 43,662,613.83
  5. Step 5: Solve for x
    x = 43,662,613.83/5,945.46
  6. Step 6: Final answer
    x = 7,343.86

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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.