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Finding the Fourth Proportional to 3,564.64, 5,347.02 and 1,256.08

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Solution

The fourth proportional to 3,564.64, 5,347.02 and 1,256.08 is: 1,884.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.64 : 5,347.02 = 1,256.08 : x
  2. Step 2: Convert to fraction form
    3,564.64/5,347.02 = 1,256.08/x
  3. Step 3: Cross multiply
    3,564.64x = 5,347.02 × 1,256.08
  4. Step 4: Simplify right side
    3,564.64x = 6,716,284.88
  5. Step 5: Solve for x
    x = 6,716,284.88/3,564.64
  6. Step 6: Final answer
    x = 1,884.14

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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.