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Finding the Fourth Proportional to 3,914.59, 5,873.81 and 1,574.50

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Solution

The fourth proportional to 3,914.59, 5,873.81 and 1,574.50 is: 2,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.59 : 5,873.81 = 1,574.50 : x
  2. Step 2: Convert to fraction form
    3,914.59/5,873.81 = 1,574.50/x
  3. Step 3: Cross multiply
    3,914.59x = 5,873.81 × 1,574.50
  4. Step 4: Simplify right side
    3,914.59x = 9,248,313.85
  5. Step 5: Solve for x
    x = 9,248,313.85/3,914.59
  6. Step 6: Final answer
    x = 2,362.52

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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.