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Finding the Fourth Proportional to 4,553.42, 6,283.37 and 2,564.16

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Solution

The fourth proportional to 4,553.42, 6,283.37 and 2,564.16 is: 3,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.42 : 6,283.37 = 2,564.16 : x
  2. Step 2: Convert to fraction form
    4,553.42/6,283.37 = 2,564.16/x
  3. Step 3: Cross multiply
    4,553.42x = 6,283.37 × 2,564.16
  4. Step 4: Simplify right side
    4,553.42x = 16,111,548.87
  5. Step 5: Solve for x
    x = 16,111,548.87/4,553.42
  6. Step 6: Final answer
    x = 3,538.34

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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.