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Finding the Fourth Proportional to 3,807.22, 5,710.48 and 1,341.91

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Solution

The fourth proportional to 3,807.22, 5,710.48 and 1,341.91 is: 2,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.22 : 5,710.48 = 1,341.91 : x
  2. Step 2: Convert to fraction form
    3,807.22/5,710.48 = 1,341.91/x
  3. Step 3: Cross multiply
    3,807.22x = 5,710.48 × 1,341.91
  4. Step 4: Simplify right side
    3,807.22x = 7,662,950.22
  5. Step 5: Solve for x
    x = 7,662,950.22/3,807.22
  6. Step 6: Final answer
    x = 2,012.74

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Why These Related Problems?

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