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Finding the Fourth Proportional to 5,158.88, 7,738.34 and 1,263.28

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Solution

The fourth proportional to 5,158.88, 7,738.34 and 1,263.28 is: 1,894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.88 : 7,738.34 = 1,263.28 : x
  2. Step 2: Convert to fraction form
    5,158.88/7,738.34 = 1,263.28/x
  3. Step 3: Cross multiply
    5,158.88x = 7,738.34 × 1,263.28
  4. Step 4: Simplify right side
    5,158.88x = 9,775,690.16
  5. Step 5: Solve for x
    x = 9,775,690.16/5,158.88
  6. Step 6: Final answer
    x = 1,894.92

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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.