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Finding the Fourth Proportional to 5,830.28, 8,053.94 and 4,061

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Solution

The fourth proportional to 5,830.28, 8,053.94 and 4,061 is: 5,609.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.28 : 8,053.94 = 4,061 : x
  2. Step 2: Convert to fraction form
    5,830.28/8,053.94 = 4,061/x
  3. Step 3: Cross multiply
    5,830.28x = 8,053.94 × 4,061
  4. Step 4: Simplify right side
    5,830.28x = 32,707,050.34
  5. Step 5: Solve for x
    x = 32,707,050.34/5,830.28
  6. Step 6: Final answer
    x = 5,609.86

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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.