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Finding the Fourth Proportional to 5,798.35, 8,008.38 and 3,817.76

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Solution

The fourth proportional to 5,798.35, 8,008.38 and 3,817.76 is: 5,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.35 : 8,008.38 = 3,817.76 : x
  2. Step 2: Convert to fraction form
    5,798.35/8,008.38 = 3,817.76/x
  3. Step 3: Cross multiply
    5,798.35x = 8,008.38 × 3,817.76
  4. Step 4: Simplify right side
    5,798.35x = 30,574,053.74
  5. Step 5: Solve for x
    x = 30,574,053.74/5,798.35
  6. Step 6: Final answer
    x = 5,272.89

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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.