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Finding the Fourth Proportional to 5,807.51, 8,011.29 and 3,679.29

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Solution

The fourth proportional to 5,807.51, 8,011.29 and 3,679.29 is: 5,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.51 : 8,011.29 = 3,679.29 : x
  2. Step 2: Convert to fraction form
    5,807.51/8,011.29 = 3,679.29/x
  3. Step 3: Cross multiply
    5,807.51x = 8,011.29 × 3,679.29
  4. Step 4: Simplify right side
    5,807.51x = 29,475,859.18
  5. Step 5: Solve for x
    x = 29,475,859.18/5,807.51
  6. Step 6: Final answer
    x = 5,075.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.