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Finding the Fourth Proportional to 3,644.46, 5,465.70 and 1,564.38

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Solution

The fourth proportional to 3,644.46, 5,465.70 and 1,564.38 is: 2,346.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.46 : 5,465.70 = 1,564.38 : x
  2. Step 2: Convert to fraction form
    3,644.46/5,465.70 = 1,564.38/x
  3. Step 3: Cross multiply
    3,644.46x = 5,465.70 × 1,564.38
  4. Step 4: Simplify right side
    3,644.46x = 8,550,431.77
  5. Step 5: Solve for x
    x = 8,550,431.77/3,644.46
  6. Step 6: Final answer
    x = 2,346.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.