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Finding the Fourth Proportional to 3,653.67, 5,479.89 and 1,056

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Solution

The fourth proportional to 3,653.67, 5,479.89 and 1,056 is: 1,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.67 : 5,479.89 = 1,056 : x
  2. Step 2: Convert to fraction form
    3,653.67/5,479.89 = 1,056/x
  3. Step 3: Cross multiply
    3,653.67x = 5,479.89 × 1,056
  4. Step 4: Simplify right side
    3,653.67x = 5,786,763.84
  5. Step 5: Solve for x
    x = 5,786,763.84/3,653.67
  6. Step 6: Final answer
    x = 1,583.82

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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.