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Finding the Fourth Proportional to 3,365.56, 4,640.50 and 2,303.84

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Solution

The fourth proportional to 3,365.56, 4,640.50 and 2,303.84 is: 3,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.56 : 4,640.50 = 2,303.84 : x
  2. Step 2: Convert to fraction form
    3,365.56/4,640.50 = 2,303.84/x
  3. Step 3: Cross multiply
    3,365.56x = 4,640.50 × 2,303.84
  4. Step 4: Simplify right side
    3,365.56x = 10,690,969.52
  5. Step 5: Solve for x
    x = 10,690,969.52/3,365.56
  6. Step 6: Final answer
    x = 3,176.58

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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.