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Finding the Fourth Proportional to 5,870, 8,100.84 and 3,386

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Solution

The fourth proportional to 5,870, 8,100.84 and 3,386 is: 4,672.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,870 : 8,100.84 = 3,386 : x
  2. Step 2: Convert to fraction form
    5,870/8,100.84 = 3,386/x
  3. Step 3: Cross multiply
    5,870x = 8,100.84 × 3,386
  4. Step 4: Simplify right side
    5,870x = 27,429,444.24
  5. Step 5: Solve for x
    x = 27,429,444.24/5,870
  6. Step 6: Final answer
    x = 4,672.82

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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.