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Finding the Fourth Proportional to 5,638.41, 8,495.67 and 4,672.69

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Solution

The fourth proportional to 5,638.41, 8,495.67 and 4,672.69 is: 7,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.41 : 8,495.67 = 4,672.69 : x
  2. Step 2: Convert to fraction form
    5,638.41/8,495.67 = 4,672.69/x
  3. Step 3: Cross multiply
    5,638.41x = 8,495.67 × 4,672.69
  4. Step 4: Simplify right side
    5,638.41x = 39,697,602.25
  5. Step 5: Solve for x
    x = 39,697,602.25/5,638.41
  6. Step 6: Final answer
    x = 7,040.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.