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Finding the Fourth Proportional to 3,807.42, 5,711.82 and 1,174.86

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Solution

The fourth proportional to 3,807.42, 5,711.82 and 1,174.86 is: 1,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.42 : 5,711.82 = 1,174.86 : x
  2. Step 2: Convert to fraction form
    3,807.42/5,711.82 = 1,174.86/x
  3. Step 3: Cross multiply
    3,807.42x = 5,711.82 × 1,174.86
  4. Step 4: Simplify right side
    3,807.42x = 6,710,588.85
  5. Step 5: Solve for x
    x = 6,710,588.85/3,807.42
  6. Step 6: Final answer
    x = 1,762.50

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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.