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Finding the Fourth Proportional to 3,709.10, 5,562.30 and 1,859.60

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Solution

The fourth proportional to 3,709.10, 5,562.30 and 1,859.60 is: 2,788.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.10 : 5,562.30 = 1,859.60 : x
  2. Step 2: Convert to fraction form
    3,709.10/5,562.30 = 1,859.60/x
  3. Step 3: Cross multiply
    3,709.10x = 5,562.30 × 1,859.60
  4. Step 4: Simplify right side
    3,709.10x = 10,343,653.08
  5. Step 5: Solve for x
    x = 10,343,653.08/3,709.10
  6. Step 6: Final answer
    x = 2,788.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.