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Finding the Fourth Proportional to 4,968.38, 7,447.68 and 2,373.14

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Solution

The fourth proportional to 4,968.38, 7,447.68 and 2,373.14 is: 3,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,968.38 : 7,447.68 = 2,373.14 : x
  2. Step 2: Convert to fraction form
    4,968.38/7,447.68 = 2,373.14/x
  3. Step 3: Cross multiply
    4,968.38x = 7,447.68 × 2,373.14
  4. Step 4: Simplify right side
    4,968.38x = 17,674,387.32
  5. Step 5: Solve for x
    x = 17,674,387.32/4,968.38
  6. Step 6: Final answer
    x = 3,557.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.