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Finding the Fourth Proportional to 5,658.04, 7,802.22 and 3,791.80

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Solution

The fourth proportional to 5,658.04, 7,802.22 and 3,791.80 is: 5,228.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.04 : 7,802.22 = 3,791.80 : x
  2. Step 2: Convert to fraction form
    5,658.04/7,802.22 = 3,791.80/x
  3. Step 3: Cross multiply
    5,658.04x = 7,802.22 × 3,791.80
  4. Step 4: Simplify right side
    5,658.04x = 29,584,457.80
  5. Step 5: Solve for x
    x = 29,584,457.80/5,658.04
  6. Step 6: Final answer
    x = 5,228.75

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1.5x scale

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.