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Finding the Fourth Proportional to 3,829.60, 5,744.86 and 1,364.66

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Solution

The fourth proportional to 3,829.60, 5,744.86 and 1,364.66 is: 2,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.60 : 5,744.86 = 1,364.66 : x
  2. Step 2: Convert to fraction form
    3,829.60/5,744.86 = 1,364.66/x
  3. Step 3: Cross multiply
    3,829.60x = 5,744.86 × 1,364.66
  4. Step 4: Simplify right side
    3,829.60x = 7,839,802.37
  5. Step 5: Solve for x
    x = 7,839,802.37/3,829.60
  6. Step 6: Final answer
    x = 2,047.16

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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.