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Finding the Fourth Proportional to 3,875.76, 5,815.74 and 1,684.50

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Solution

The fourth proportional to 3,875.76, 5,815.74 and 1,684.50 is: 2,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.76 : 5,815.74 = 1,684.50 : x
  2. Step 2: Convert to fraction form
    3,875.76/5,815.74 = 1,684.50/x
  3. Step 3: Cross multiply
    3,875.76x = 5,815.74 × 1,684.50
  4. Step 4: Simplify right side
    3,875.76x = 9,796,614.03
  5. Step 5: Solve for x
    x = 9,796,614.03/3,875.76
  6. Step 6: Final answer
    x = 2,527.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.