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Finding the Fourth Proportional to 5,552.82, 7,656.39 and 4,609.71

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Solution

The fourth proportional to 5,552.82, 7,656.39 and 4,609.71 is: 6,356.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.82 : 7,656.39 = 4,609.71 : x
  2. Step 2: Convert to fraction form
    5,552.82/7,656.39 = 4,609.71/x
  3. Step 3: Cross multiply
    5,552.82x = 7,656.39 × 4,609.71
  4. Step 4: Simplify right side
    5,552.82x = 35,293,737.55
  5. Step 5: Solve for x
    x = 35,293,737.55/5,552.82
  6. Step 6: Final answer
    x = 6,356.00

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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.