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Finding the Fourth Proportional to 4,937, 7,409.14 and 2,339.94

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Solution

The fourth proportional to 4,937, 7,409.14 and 2,339.94 is: 3,511.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937 : 7,409.14 = 2,339.94 : x
  2. Step 2: Convert to fraction form
    4,937/7,409.14 = 2,339.94/x
  3. Step 3: Cross multiply
    4,937x = 7,409.14 × 2,339.94
  4. Step 4: Simplify right side
    4,937x = 17,336,943.05
  5. Step 5: Solve for x
    x = 17,336,943.05/4,937
  6. Step 6: Final answer
    x = 3,511.64

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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.