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Finding the Fourth Proportional to 4,553.78, 6,283.32 and 2,564.42

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Solution

The fourth proportional to 4,553.78, 6,283.32 and 2,564.42 is: 3,538.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.78 : 6,283.32 = 2,564.42 : x
  2. Step 2: Convert to fraction form
    4,553.78/6,283.32 = 2,564.42/x
  3. Step 3: Cross multiply
    4,553.78x = 6,283.32 × 2,564.42
  4. Step 4: Simplify right side
    4,553.78x = 16,113,071.47
  5. Step 5: Solve for x
    x = 16,113,071.47/4,553.78
  6. Step 6: Final answer
    x = 3,538.39

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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.