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Finding the Fourth Proportional to 3,710.87, 5,562.61 and 1,856.33

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Solution

The fourth proportional to 3,710.87, 5,562.61 and 1,856.33 is: 2,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.87 : 5,562.61 = 1,856.33 : x
  2. Step 2: Convert to fraction form
    3,710.87/5,562.61 = 1,856.33/x
  3. Step 3: Cross multiply
    3,710.87x = 5,562.61 × 1,856.33
  4. Step 4: Simplify right side
    3,710.87x = 10,326,007.37
  5. Step 5: Solve for x
    x = 10,326,007.37/3,710.87
  6. Step 6: Final answer
    x = 2,782.64

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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.