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Finding the Fourth Proportional to 3,807.24, 5,710.52 and 1,341.86

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Solution

The fourth proportional to 3,807.24, 5,710.52 and 1,341.86 is: 2,012.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.24 : 5,710.52 = 1,341.86 : x
  2. Step 2: Convert to fraction form
    3,807.24/5,710.52 = 1,341.86/x
  3. Step 3: Cross multiply
    3,807.24x = 5,710.52 × 1,341.86
  4. Step 4: Simplify right side
    3,807.24x = 7,662,718.37
  5. Step 5: Solve for x
    x = 7,662,718.37/3,807.24
  6. Step 6: Final answer
    x = 2,012.67

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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.