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Finding the Fourth Proportional to 4,902.35, 7,356.57 and 1,980.68

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Solution

The fourth proportional to 4,902.35, 7,356.57 and 1,980.68 is: 2,972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.35 : 7,356.57 = 1,980.68 : x
  2. Step 2: Convert to fraction form
    4,902.35/7,356.57 = 1,980.68/x
  3. Step 3: Cross multiply
    4,902.35x = 7,356.57 × 1,980.68
  4. Step 4: Simplify right side
    4,902.35x = 14,571,001.16
  5. Step 5: Solve for x
    x = 14,571,001.16/4,902.35
  6. Step 6: Final answer
    x = 2,972.25

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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.