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Finding the Fourth Proportional to 4,322.97, 5,966.01 and 2,434.86

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Solution

The fourth proportional to 4,322.97, 5,966.01 and 2,434.86 is: 3,360.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.97 : 5,966.01 = 2,434.86 : x
  2. Step 2: Convert to fraction form
    4,322.97/5,966.01 = 2,434.86/x
  3. Step 3: Cross multiply
    4,322.97x = 5,966.01 × 2,434.86
  4. Step 4: Simplify right side
    4,322.97x = 14,526,399.11
  5. Step 5: Solve for x
    x = 14,526,399.11/4,322.97
  6. Step 6: Final answer
    x = 3,360.28

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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.