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Finding the Fourth Proportional to 3,564.62, 5,347.74 and 1,256.12

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Solution

The fourth proportional to 3,564.62, 5,347.74 and 1,256.12 is: 1,884.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.62 : 5,347.74 = 1,256.12 : x
  2. Step 2: Convert to fraction form
    3,564.62/5,347.74 = 1,256.12/x
  3. Step 3: Cross multiply
    3,564.62x = 5,347.74 × 1,256.12
  4. Step 4: Simplify right side
    3,564.62x = 6,717,403.17
  5. Step 5: Solve for x
    x = 6,717,403.17/3,564.62
  6. Step 6: Final answer
    x = 1,884.47

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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.