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Finding the Fourth Proportional to 4,553.70, 6,284.16 and 2,564.28

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Solution

The fourth proportional to 4,553.70, 6,284.16 and 2,564.28 is: 3,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.70 : 6,284.16 = 2,564.28 : x
  2. Step 2: Convert to fraction form
    4,553.70/6,284.16 = 2,564.28/x
  3. Step 3: Cross multiply
    4,553.70x = 6,284.16 × 2,564.28
  4. Step 4: Simplify right side
    4,553.70x = 16,114,345.80
  5. Step 5: Solve for x
    x = 16,114,345.80/4,553.70
  6. Step 6: Final answer
    x = 3,538.74

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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.