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Finding the Fourth Proportional to 4,461.51, 6,672.22 and 3,970.82

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Solution

The fourth proportional to 4,461.51, 6,672.22 and 3,970.82 is: 5,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,461.51 : 6,672.22 = 3,970.82 : x
  2. Step 2: Convert to fraction form
    4,461.51/6,672.22 = 3,970.82/x
  3. Step 3: Cross multiply
    4,461.51x = 6,672.22 × 3,970.82
  4. Step 4: Simplify right side
    4,461.51x = 26,494,184.62
  5. Step 5: Solve for x
    x = 26,494,184.62/4,461.51
  6. Step 6: Final answer
    x = 5,938.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.