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Finding the Fourth Proportional to 4,553.61, 6,283.46 and 2,564.12

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Solution

The fourth proportional to 4,553.61, 6,283.46 and 2,564.12 is: 3,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.61 : 6,283.46 = 2,564.12 : x
  2. Step 2: Convert to fraction form
    4,553.61/6,283.46 = 2,564.12/x
  3. Step 3: Cross multiply
    4,553.61x = 6,283.46 × 2,564.12
  4. Step 4: Simplify right side
    4,553.61x = 16,111,520.45
  5. Step 5: Solve for x
    x = 16,111,520.45/4,553.61
  6. Step 6: Final answer
    x = 3,538.19

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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.