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Finding the Fourth Proportional to 4,308.71, 5,946.59 and 2,420.46

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Solution

The fourth proportional to 4,308.71, 5,946.59 and 2,420.46 is: 3,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,308.71 : 5,946.59 = 2,420.46 : x
  2. Step 2: Convert to fraction form
    4,308.71/5,946.59 = 2,420.46/x
  3. Step 3: Cross multiply
    4,308.71x = 5,946.59 × 2,420.46
  4. Step 4: Simplify right side
    4,308.71x = 14,393,471.13
  5. Step 5: Solve for x
    x = 14,393,471.13/4,308.71
  6. Step 6: Final answer
    x = 3,340.56

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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.