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Finding the Fourth Proportional to 5,658.26, 7,807.88 and 3,140.33

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Solution

The fourth proportional to 5,658.26, 7,807.88 and 3,140.33 is: 4,333.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.26 : 7,807.88 = 3,140.33 : x
  2. Step 2: Convert to fraction form
    5,658.26/7,807.88 = 3,140.33/x
  3. Step 3: Cross multiply
    5,658.26x = 7,807.88 × 3,140.33
  4. Step 4: Simplify right side
    5,658.26x = 24,519,347.17
  5. Step 5: Solve for x
    x = 24,519,347.17/5,658.26
  6. Step 6: Final answer
    x = 4,333.37

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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.