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Finding the Fourth Proportional to 5,822.70, 8,030.99 and 3,696.38

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Solution

The fourth proportional to 5,822.70, 8,030.99 and 3,696.38 is: 5,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.70 : 8,030.99 = 3,696.38 : x
  2. Step 2: Convert to fraction form
    5,822.70/8,030.99 = 3,696.38/x
  3. Step 3: Cross multiply
    5,822.70x = 8,030.99 × 3,696.38
  4. Step 4: Simplify right side
    5,822.70x = 29,685,614.40
  5. Step 5: Solve for x
    x = 29,685,614.40/5,822.70
  6. Step 6: Final answer
    x = 5,098.25

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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.