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Finding the Fourth Proportional to 4,861.58, 7,292.62 and 1,574.94

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Solution

The fourth proportional to 4,861.58, 7,292.62 and 1,574.94 is: 2,362.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.58 : 7,292.62 = 1,574.94 : x
  2. Step 2: Convert to fraction form
    4,861.58/7,292.62 = 1,574.94/x
  3. Step 3: Cross multiply
    4,861.58x = 7,292.62 × 1,574.94
  4. Step 4: Simplify right side
    4,861.58x = 11,485,438.94
  5. Step 5: Solve for x
    x = 11,485,438.94/4,861.58
  6. Step 6: Final answer
    x = 2,362.49

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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.