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Finding the Fourth Proportional to 3,829.84, 5,744.79 and 1,056.67

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Solution

The fourth proportional to 3,829.84, 5,744.79 and 1,056.67 is: 1,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.84 : 5,744.79 = 1,056.67 : x
  2. Step 2: Convert to fraction form
    3,829.84/5,744.79 = 1,056.67/x
  3. Step 3: Cross multiply
    3,829.84x = 5,744.79 × 1,056.67
  4. Step 4: Simplify right side
    3,829.84x = 6,070,332.89
  5. Step 5: Solve for x
    x = 6,070,332.89/3,829.84
  6. Step 6: Final answer
    x = 1,585.01

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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.