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Finding the Fourth Proportional to 4,655.36, 6,976.35 and 3,610.46

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Solution

The fourth proportional to 4,655.36, 6,976.35 and 3,610.46 is: 5,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.36 : 6,976.35 = 3,610.46 : x
  2. Step 2: Convert to fraction form
    4,655.36/6,976.35 = 3,610.46/x
  3. Step 3: Cross multiply
    4,655.36x = 6,976.35 × 3,610.46
  4. Step 4: Simplify right side
    4,655.36x = 25,187,797.74
  5. Step 5: Solve for x
    x = 25,187,797.74/4,655.36
  6. Step 6: Final answer
    x = 5,410.50

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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.