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Finding the Fourth Proportional to 4,902.10, 7,345.05 and 3,257.80

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Solution

The fourth proportional to 4,902.10, 7,345.05 and 3,257.80 is: 4,881.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.10 : 7,345.05 = 3,257.80 : x
  2. Step 2: Convert to fraction form
    4,902.10/7,345.05 = 3,257.80/x
  3. Step 3: Cross multiply
    4,902.10x = 7,345.05 × 3,257.80
  4. Step 4: Simplify right side
    4,902.10x = 23,928,703.89
  5. Step 5: Solve for x
    x = 23,928,703.89/4,902.10
  6. Step 6: Final answer
    x = 4,881.32

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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.