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Finding the Fourth Proportional to 5,807.66, 8,711.50 and 3,340.94

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Solution

The fourth proportional to 5,807.66, 8,711.50 and 3,340.94 is: 5,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.66 : 8,711.50 = 3,340.94 : x
  2. Step 2: Convert to fraction form
    5,807.66/8,711.50 = 3,340.94/x
  3. Step 3: Cross multiply
    5,807.66x = 8,711.50 × 3,340.94
  4. Step 4: Simplify right side
    5,807.66x = 29,104,598.81
  5. Step 5: Solve for x
    x = 29,104,598.81/5,807.66
  6. Step 6: Final answer
    x = 5,011.42

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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.