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Finding the Fourth Proportional to 3,429.06, 4,732.10 and 1,857.15

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Solution

The fourth proportional to 3,429.06, 4,732.10 and 1,857.15 is: 2,562.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.06 : 4,732.10 = 1,857.15 : x
  2. Step 2: Convert to fraction form
    3,429.06/4,732.10 = 1,857.15/x
  3. Step 3: Cross multiply
    3,429.06x = 4,732.10 × 1,857.15
  4. Step 4: Simplify right side
    3,429.06x = 8,788,210.23
  5. Step 5: Solve for x
    x = 8,788,210.23/3,429.06
  6. Step 6: Final answer
    x = 2,562.86

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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.