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Finding the Fourth Proportional to 7,591.92, 10,476.94 and 4,235.03

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Solution

The fourth proportional to 7,591.92, 10,476.94 and 4,235.03 is: 5,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.92 : 10,476.94 = 4,235.03 : x
  2. Step 2: Convert to fraction form
    7,591.92/10,476.94 = 4,235.03/x
  3. Step 3: Cross multiply
    7,591.92x = 10,476.94 × 4,235.03
  4. Step 4: Simplify right side
    7,591.92x = 44,370,155.21
  5. Step 5: Solve for x
    x = 44,370,155.21/7,591.92
  6. Step 6: Final answer
    x = 5,844.39

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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.