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Finding the Fourth Proportional to 3,415.80, 5,124.50 and 1,857.36

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Solution

The fourth proportional to 3,415.80, 5,124.50 and 1,857.36 is: 2,786.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.80 : 5,124.50 = 1,857.36 : x
  2. Step 2: Convert to fraction form
    3,415.80/5,124.50 = 1,857.36/x
  3. Step 3: Cross multiply
    3,415.80x = 5,124.50 × 1,857.36
  4. Step 4: Simplify right side
    3,415.80x = 9,518,041.32
  5. Step 5: Solve for x
    x = 9,518,041.32/3,415.80
  6. Step 6: Final answer
    x = 2,786.48

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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.