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Finding the Fourth Proportional to 5,905.12, 8,833.36 and 4,853.28

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Solution

The fourth proportional to 5,905.12, 8,833.36 and 4,853.28 is: 7,259.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.12 : 8,833.36 = 4,853.28 : x
  2. Step 2: Convert to fraction form
    5,905.12/8,833.36 = 4,853.28/x
  3. Step 3: Cross multiply
    5,905.12x = 8,833.36 × 4,853.28
  4. Step 4: Simplify right side
    5,905.12x = 42,870,769.42
  5. Step 5: Solve for x
    x = 42,870,769.42/5,905.12
  6. Step 6: Final answer
    x = 7,259.93

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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.