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Finding the Fourth Proportional to 3,262.98, 4,884.75 and 3,146.34

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Solution

The fourth proportional to 3,262.98, 4,884.75 and 3,146.34 is: 4,710.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.98 : 4,884.75 = 3,146.34 : x
  2. Step 2: Convert to fraction form
    3,262.98/4,884.75 = 3,146.34/x
  3. Step 3: Cross multiply
    3,262.98x = 4,884.75 × 3,146.34
  4. Step 4: Simplify right side
    3,262.98x = 15,369,084.32
  5. Step 5: Solve for x
    x = 15,369,084.32/3,262.98
  6. Step 6: Final answer
    x = 4,710.14

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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.