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Finding the Fourth Proportional to 3,564.48, 5,346.88 and 1,256

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Solution

The fourth proportional to 3,564.48, 5,346.88 and 1,256 is: 1,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.48 : 5,346.88 = 1,256 : x
  2. Step 2: Convert to fraction form
    3,564.48/5,346.88 = 1,256/x
  3. Step 3: Cross multiply
    3,564.48x = 5,346.88 × 1,256
  4. Step 4: Simplify right side
    3,564.48x = 6,715,681.28
  5. Step 5: Solve for x
    x = 6,715,681.28/3,564.48
  6. Step 6: Final answer
    x = 1,884.06

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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.