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Finding the Fourth Proportional to 4,530.74, 6,245.71 and 3,035.37

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Solution

The fourth proportional to 4,530.74, 6,245.71 and 3,035.37 is: 4,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.74 : 6,245.71 = 3,035.37 : x
  2. Step 2: Convert to fraction form
    4,530.74/6,245.71 = 3,035.37/x
  3. Step 3: Cross multiply
    4,530.74x = 6,245.71 × 3,035.37
  4. Step 4: Simplify right side
    4,530.74x = 18,958,056.60
  5. Step 5: Solve for x
    x = 18,958,056.60/4,530.74
  6. Step 6: Final answer
    x = 4,184.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.