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Finding the Fourth Proportional to 4,554, 6,284.57 and 2,564.46

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Solution

The fourth proportional to 4,554, 6,284.57 and 2,564.46 is: 3,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,554 : 6,284.57 = 2,564.46 : x
  2. Step 2: Convert to fraction form
    4,554/6,284.57 = 2,564.46/x
  3. Step 3: Cross multiply
    4,554x = 6,284.57 × 2,564.46
  4. Step 4: Simplify right side
    4,554x = 16,116,515.56
  5. Step 5: Solve for x
    x = 16,116,515.56/4,554
  6. Step 6: Final answer
    x = 3,538.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.