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Finding the Fourth Proportional to 3,728.84, 5,592.90 and 1,263.37

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Solution

The fourth proportional to 3,728.84, 5,592.90 and 1,263.37 is: 1,894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.84 : 5,592.90 = 1,263.37 : x
  2. Step 2: Convert to fraction form
    3,728.84/5,592.90 = 1,263.37/x
  3. Step 3: Cross multiply
    3,728.84x = 5,592.90 × 1,263.37
  4. Step 4: Simplify right side
    3,728.84x = 7,065,909.06
  5. Step 5: Solve for x
    x = 7,065,909.06/3,728.84
  6. Step 6: Final answer
    x = 1,894.93

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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.