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Finding the Fourth Proportional to 4,893.20, 7,343 and 2,430.13

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Solution

The fourth proportional to 4,893.20, 7,343 and 2,430.13 is: 3,646.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,893.20 : 7,343 = 2,430.13 : x
  2. Step 2: Convert to fraction form
    4,893.20/7,343 = 2,430.13/x
  3. Step 3: Cross multiply
    4,893.20x = 7,343 × 2,430.13
  4. Step 4: Simplify right side
    4,893.20x = 17,844,444.59
  5. Step 5: Solve for x
    x = 17,844,444.59/4,893.20
  6. Step 6: Final answer
    x = 3,646.78

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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.