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Finding the Fourth Proportional to 3,816.16, 5,723.16 and 1,735

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Solution

The fourth proportional to 3,816.16, 5,723.16 and 1,735 is: 2,602.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.16 : 5,723.16 = 1,735 : x
  2. Step 2: Convert to fraction form
    3,816.16/5,723.16 = 1,735/x
  3. Step 3: Cross multiply
    3,816.16x = 5,723.16 × 1,735
  4. Step 4: Simplify right side
    3,816.16x = 9,929,682.60
  5. Step 5: Solve for x
    x = 9,929,682.60/3,816.16
  6. Step 6: Final answer
    x = 2,602.01

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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.