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Finding the Fourth Proportional to 5,807.54, 8,009.74 and 3,817.38

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Solution

The fourth proportional to 5,807.54, 8,009.74 and 3,817.38 is: 5,264.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.54 : 8,009.74 = 3,817.38 : x
  2. Step 2: Convert to fraction form
    5,807.54/8,009.74 = 3,817.38/x
  3. Step 3: Cross multiply
    5,807.54x = 8,009.74 × 3,817.38
  4. Step 4: Simplify right side
    5,807.54x = 30,576,221.28
  5. Step 5: Solve for x
    x = 30,576,221.28/5,807.54
  6. Step 6: Final answer
    x = 5,264.92

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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.