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Finding the Fourth Proportional to 3,807.04, 5,713.12 and 1,341.85

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Solution

The fourth proportional to 3,807.04, 5,713.12 and 1,341.85 is: 2,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.04 : 5,713.12 = 1,341.85 : x
  2. Step 2: Convert to fraction form
    3,807.04/5,713.12 = 1,341.85/x
  3. Step 3: Cross multiply
    3,807.04x = 5,713.12 × 1,341.85
  4. Step 4: Simplify right side
    3,807.04x = 7,666,150.07
  5. Step 5: Solve for x
    x = 7,666,150.07/3,807.04
  6. Step 6: Final answer
    x = 2,013.68

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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.