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Finding the Fourth Proportional to 5,677.32, 7,830.09 and 4,673.73

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Solution

The fourth proportional to 5,677.32, 7,830.09 and 4,673.73 is: 6,445.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.32 : 7,830.09 = 4,673.73 : x
  2. Step 2: Convert to fraction form
    5,677.32/7,830.09 = 4,673.73/x
  3. Step 3: Cross multiply
    5,677.32x = 7,830.09 × 4,673.73
  4. Step 4: Simplify right side
    5,677.32x = 36,595,726.54
  5. Step 5: Solve for x
    x = 36,595,726.54/5,677.32
  6. Step 6: Final answer
    x = 6,445.95

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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.