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Finding the Fourth Proportional to 5,789.65, 7,989.75 and 3,137.06

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Solution

The fourth proportional to 5,789.65, 7,989.75 and 3,137.06 is: 4,329.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.65 : 7,989.75 = 3,137.06 : x
  2. Step 2: Convert to fraction form
    5,789.65/7,989.75 = 3,137.06/x
  3. Step 3: Cross multiply
    5,789.65x = 7,989.75 × 3,137.06
  4. Step 4: Simplify right side
    5,789.65x = 25,064,325.14
  5. Step 5: Solve for x
    x = 25,064,325.14/5,789.65
  6. Step 6: Final answer
    x = 4,329.16

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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.