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Finding the Fourth Proportional to 4,434.71, 6,114.84 and 3,313.76

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Solution

The fourth proportional to 4,434.71, 6,114.84 and 3,313.76 is: 4,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,434.71 : 6,114.84 = 3,313.76 : x
  2. Step 2: Convert to fraction form
    4,434.71/6,114.84 = 3,313.76/x
  3. Step 3: Cross multiply
    4,434.71x = 6,114.84 × 3,313.76
  4. Step 4: Simplify right side
    4,434.71x = 20,263,112.20
  5. Step 5: Solve for x
    x = 20,263,112.20/4,434.71
  6. Step 6: Final answer
    x = 4,569.21

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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.