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Finding the Fourth Proportional to 5,830.70, 8,049.93 and 3,595.62

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Solution

The fourth proportional to 5,830.70, 8,049.93 and 3,595.62 is: 4,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.70 : 8,049.93 = 3,595.62 : x
  2. Step 2: Convert to fraction form
    5,830.70/8,049.93 = 3,595.62/x
  3. Step 3: Cross multiply
    5,830.70x = 8,049.93 × 3,595.62
  4. Step 4: Simplify right side
    5,830.70x = 28,944,489.31
  5. Step 5: Solve for x
    x = 28,944,489.31/5,830.70
  6. Step 6: Final answer
    x = 4,964.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.