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Finding the Fourth Proportional to 4,902.25, 6,762.50 and 3,106.56

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Solution

The fourth proportional to 4,902.25, 6,762.50 and 3,106.56 is: 4,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.25 : 6,762.50 = 3,106.56 : x
  2. Step 2: Convert to fraction form
    4,902.25/6,762.50 = 3,106.56/x
  3. Step 3: Cross multiply
    4,902.25x = 6,762.50 × 3,106.56
  4. Step 4: Simplify right side
    4,902.25x = 21,008,112
  5. Step 5: Solve for x
    x = 21,008,112/4,902.25
  6. Step 6: Final answer
    x = 4,285.40

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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.