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Finding the Fourth Proportional to 4,736.52, 7,097.40 and 3,001.50

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Solution

The fourth proportional to 4,736.52, 7,097.40 and 3,001.50 is: 4,497.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.52 : 7,097.40 = 3,001.50 : x
  2. Step 2: Convert to fraction form
    4,736.52/7,097.40 = 3,001.50/x
  3. Step 3: Cross multiply
    4,736.52x = 7,097.40 × 3,001.50
  4. Step 4: Simplify right side
    4,736.52x = 21,302,846.10
  5. Step 5: Solve for x
    x = 21,302,846.10/4,736.52
  6. Step 6: Final answer
    x = 4,497.57

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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.