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Finding the Fourth Proportional to 5,658.09, 7,807.21 and 3,139.80

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Solution

The fourth proportional to 5,658.09, 7,807.21 and 3,139.80 is: 4,332.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.09 : 7,807.21 = 3,139.80 : x
  2. Step 2: Convert to fraction form
    5,658.09/7,807.21 = 3,139.80/x
  3. Step 3: Cross multiply
    5,658.09x = 7,807.21 × 3,139.80
  4. Step 4: Simplify right side
    5,658.09x = 24,513,077.96
  5. Step 5: Solve for x
    x = 24,513,077.96/5,658.09
  6. Step 6: Final answer
    x = 4,332.39

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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.