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Finding the Fourth Proportional to 4,971.84, 7,450.08 and 3,144

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Solution

The fourth proportional to 4,971.84, 7,450.08 and 3,144 is: 4,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.84 : 7,450.08 = 3,144 : x
  2. Step 2: Convert to fraction form
    4,971.84/7,450.08 = 3,144/x
  3. Step 3: Cross multiply
    4,971.84x = 7,450.08 × 3,144
  4. Step 4: Simplify right side
    4,971.84x = 23,423,051.52
  5. Step 5: Solve for x
    x = 23,423,051.52/4,971.84
  6. Step 6: Final answer
    x = 4,711.14

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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.