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Finding the Fourth Proportional to 5,564.46, 7,684.16 and 3,578.47

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Solution

The fourth proportional to 5,564.46, 7,684.16 and 3,578.47 is: 4,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.46 : 7,684.16 = 3,578.47 : x
  2. Step 2: Convert to fraction form
    5,564.46/7,684.16 = 3,578.47/x
  3. Step 3: Cross multiply
    5,564.46x = 7,684.16 × 3,578.47
  4. Step 4: Simplify right side
    5,564.46x = 27,497,525.77
  5. Step 5: Solve for x
    x = 27,497,525.77/5,564.46
  6. Step 6: Final answer
    x = 4,941.63

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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.