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Finding the Fourth Proportional to 3,365, 5,047.55 and 1,056.50

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Solution

The fourth proportional to 3,365, 5,047.55 and 1,056.50 is: 1,584.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365 : 5,047.55 = 1,056.50 : x
  2. Step 2: Convert to fraction form
    3,365/5,047.55 = 1,056.50/x
  3. Step 3: Cross multiply
    3,365x = 5,047.55 × 1,056.50
  4. Step 4: Simplify right side
    3,365x = 5,332,731.29
  5. Step 5: Solve for x
    x = 5,332,731.29/3,365
  6. Step 6: Final answer
    x = 1,584.76

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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.