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Finding the Fourth Proportional to 3,434.74, 4,739.95 and 1,862.82

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Solution

The fourth proportional to 3,434.74, 4,739.95 and 1,862.82 is: 2,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.74 : 4,739.95 = 1,862.82 : x
  2. Step 2: Convert to fraction form
    3,434.74/4,739.95 = 1,862.82/x
  3. Step 3: Cross multiply
    3,434.74x = 4,739.95 × 1,862.82
  4. Step 4: Simplify right side
    3,434.74x = 8,829,673.66
  5. Step 5: Solve for x
    x = 8,829,673.66/3,434.74
  6. Step 6: Final answer
    x = 2,570.70

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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.