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Finding the Fourth Proportional to 4,644.40, 6,960.08 and 2,565.38

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Solution

The fourth proportional to 4,644.40, 6,960.08 and 2,565.38 is: 3,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.40 : 6,960.08 = 2,565.38 : x
  2. Step 2: Convert to fraction form
    4,644.40/6,960.08 = 2,565.38/x
  3. Step 3: Cross multiply
    4,644.40x = 6,960.08 × 2,565.38
  4. Step 4: Simplify right side
    4,644.40x = 17,855,250.03
  5. Step 5: Solve for x
    x = 17,855,250.03/4,644.40
  6. Step 6: Final answer
    x = 3,844.47

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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.