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Finding the Fourth Proportional to 3,426.71, 4,716.53 and 2,430.20

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Solution

The fourth proportional to 3,426.71, 4,716.53 and 2,430.20 is: 3,344.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.71 : 4,716.53 = 2,430.20 : x
  2. Step 2: Convert to fraction form
    3,426.71/4,716.53 = 2,430.20/x
  3. Step 3: Cross multiply
    3,426.71x = 4,716.53 × 2,430.20
  4. Step 4: Simplify right side
    3,426.71x = 11,462,119.96
  5. Step 5: Solve for x
    x = 11,462,119.96/3,426.71
  6. Step 6: Final answer
    x = 3,344.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.