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Finding the Fourth Proportional to 4,688.88, 6,484.62 and 4,190.73

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Solution

The fourth proportional to 4,688.88, 6,484.62 and 4,190.73 is: 5,795.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,688.88 : 6,484.62 = 4,190.73 : x
  2. Step 2: Convert to fraction form
    4,688.88/6,484.62 = 4,190.73/x
  3. Step 3: Cross multiply
    4,688.88x = 6,484.62 × 4,190.73
  4. Step 4: Simplify right side
    4,688.88x = 27,175,291.57
  5. Step 5: Solve for x
    x = 27,175,291.57/4,688.88
  6. Step 6: Final answer
    x = 5,795.69

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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.