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Finding the Fourth Proportional to 5,873.50, 8,106.15 and 3,389.50

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Solution

The fourth proportional to 5,873.50, 8,106.15 and 3,389.50 is: 4,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,873.50 : 8,106.15 = 3,389.50 : x
  2. Step 2: Convert to fraction form
    5,873.50/8,106.15 = 3,389.50/x
  3. Step 3: Cross multiply
    5,873.50x = 8,106.15 × 3,389.50
  4. Step 4: Simplify right side
    5,873.50x = 27,475,795.43
  5. Step 5: Solve for x
    x = 27,475,795.43/5,873.50
  6. Step 6: Final answer
    x = 4,677.93

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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.