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Finding the Fourth Proportional to 5,176.54, 7,142.07 and 4,677.58

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Solution

The fourth proportional to 5,176.54, 7,142.07 and 4,677.58 is: 6,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,176.54 : 7,142.07 = 4,677.58 : x
  2. Step 2: Convert to fraction form
    5,176.54/7,142.07 = 4,677.58/x
  3. Step 3: Cross multiply
    5,176.54x = 7,142.07 × 4,677.58
  4. Step 4: Simplify right side
    5,176.54x = 33,407,603.79
  5. Step 5: Solve for x
    x = 33,407,603.79/5,176.54
  6. Step 6: Final answer
    x = 6,453.66

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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.