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Finding the Fourth Proportional to 5,672.54, 8,470.56 and 4,634.60

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Solution

The fourth proportional to 5,672.54, 8,470.56 and 4,634.60 is: 6,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.54 : 8,470.56 = 4,634.60 : x
  2. Step 2: Convert to fraction form
    5,672.54/8,470.56 = 4,634.60/x
  3. Step 3: Cross multiply
    5,672.54x = 8,470.56 × 4,634.60
  4. Step 4: Simplify right side
    5,672.54x = 39,257,615.02
  5. Step 5: Solve for x
    x = 39,257,615.02/5,672.54
  6. Step 6: Final answer
    x = 6,920.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.