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Finding the Fourth Proportional to 4,553.83, 6,283.83 and 2,564.35

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Solution

The fourth proportional to 4,553.83, 6,283.83 and 2,564.35 is: 3,538.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.83 : 6,283.83 = 2,564.35 : x
  2. Step 2: Convert to fraction form
    4,553.83/6,283.83 = 2,564.35/x
  3. Step 3: Cross multiply
    4,553.83x = 6,283.83 × 2,564.35
  4. Step 4: Simplify right side
    4,553.83x = 16,113,933.37
  5. Step 5: Solve for x
    x = 16,113,933.37/4,553.83
  6. Step 6: Final answer
    x = 3,538.54

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