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Finding the Fourth Proportional to 5,902.99, 8,145.98 and 3,386.59

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Solution

The fourth proportional to 5,902.99, 8,145.98 and 3,386.59 is: 4,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.99 : 8,145.98 = 3,386.59 : x
  2. Step 2: Convert to fraction form
    5,902.99/8,145.98 = 3,386.59/x
  3. Step 3: Cross multiply
    5,902.99x = 8,145.98 × 3,386.59
  4. Step 4: Simplify right side
    5,902.99x = 27,587,094.41
  5. Step 5: Solve for x
    x = 27,587,094.41/5,902.99
  6. Step 6: Final answer
    x = 4,673.41

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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.