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Finding the Fourth Proportional to 4,675.37, 6,451.43 and 3,970.06

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Solution

The fourth proportional to 4,675.37, 6,451.43 and 3,970.06 is: 5,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.37 : 6,451.43 = 3,970.06 : x
  2. Step 2: Convert to fraction form
    4,675.37/6,451.43 = 3,970.06/x
  3. Step 3: Cross multiply
    4,675.37x = 6,451.43 × 3,970.06
  4. Step 4: Simplify right side
    4,675.37x = 25,612,531.93
  5. Step 5: Solve for x
    x = 25,612,531.93/4,675.37
  6. Step 6: Final answer
    x = 5,478.19

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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.