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Finding the Fourth Proportional to 3,434.64, 4,739.81 and 1,862.74

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Solution

The fourth proportional to 3,434.64, 4,739.81 and 1,862.74 is: 2,570.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.64 : 4,739.81 = 1,862.74 : x
  2. Step 2: Convert to fraction form
    3,434.64/4,739.81 = 1,862.74/x
  3. Step 3: Cross multiply
    3,434.64x = 4,739.81 × 1,862.74
  4. Step 4: Simplify right side
    3,434.64x = 8,829,033.68
  5. Step 5: Solve for x
    x = 8,829,033.68/3,434.64
  6. Step 6: Final answer
    x = 2,570.58

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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.