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Finding the Fourth Proportional to 4,553.93, 6,284.54 and 2,564.56

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Solution

The fourth proportional to 4,553.93, 6,284.54 and 2,564.56 is: 3,539.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.93 : 6,284.54 = 2,564.56 : x
  2. Step 2: Convert to fraction form
    4,553.93/6,284.54 = 2,564.56/x
  3. Step 3: Cross multiply
    4,553.93x = 6,284.54 × 2,564.56
  4. Step 4: Simplify right side
    4,553.93x = 16,117,079.90
  5. Step 5: Solve for x
    x = 16,117,079.90/4,553.93
  6. Step 6: Final answer
    x = 3,539.16

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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.