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Finding the Fourth Proportional to 5,158.03, 7,735.80 and 2,382.03

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Solution

The fourth proportional to 5,158.03, 7,735.80 and 2,382.03 is: 3,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.03 : 7,735.80 = 2,382.03 : x
  2. Step 2: Convert to fraction form
    5,158.03/7,735.80 = 2,382.03/x
  3. Step 3: Cross multiply
    5,158.03x = 7,735.80 × 2,382.03
  4. Step 4: Simplify right side
    5,158.03x = 18,426,907.67
  5. Step 5: Solve for x
    x = 18,426,907.67/5,158.03
  6. Step 6: Final answer
    x = 3,572.47

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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.