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Finding the Fourth Proportional to 3,830.36, 5,744.80 and 1,056.32

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Solution

The fourth proportional to 3,830.36, 5,744.80 and 1,056.32 is: 1,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.36 : 5,744.80 = 1,056.32 : x
  2. Step 2: Convert to fraction form
    3,830.36/5,744.80 = 1,056.32/x
  3. Step 3: Cross multiply
    3,830.36x = 5,744.80 × 1,056.32
  4. Step 4: Simplify right side
    3,830.36x = 6,068,347.14
  5. Step 5: Solve for x
    x = 6,068,347.14/3,830.36
  6. Step 6: Final answer
    x = 1,584.28

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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.