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Finding the Fourth Proportional to 5,162.94, 7,744.32 and 1,267.35

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Solution

The fourth proportional to 5,162.94, 7,744.32 and 1,267.35 is: 1,901.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.94 : 7,744.32 = 1,267.35 : x
  2. Step 2: Convert to fraction form
    5,162.94/7,744.32 = 1,267.35/x
  3. Step 3: Cross multiply
    5,162.94x = 7,744.32 × 1,267.35
  4. Step 4: Simplify right side
    5,162.94x = 9,814,763.95
  5. Step 5: Solve for x
    x = 9,814,763.95/5,162.94
  6. Step 6: Final answer
    x = 1,901.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.