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Finding the Fourth Proportional to 5,072.40, 7,608.60 and 4,208.40

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Solution

The fourth proportional to 5,072.40, 7,608.60 and 4,208.40 is: 6,312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.40 : 7,608.60 = 4,208.40 : x
  2. Step 2: Convert to fraction form
    5,072.40/7,608.60 = 4,208.40/x
  3. Step 3: Cross multiply
    5,072.40x = 7,608.60 × 4,208.40
  4. Step 4: Simplify right side
    5,072.40x = 32,020,032.24
  5. Step 5: Solve for x
    x = 32,020,032.24/5,072.40
  6. Step 6: Final answer
    x = 6,312.60

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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.