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Finding the Fourth Proportional to 3,357.32, 4,633.02 and 1,865.37

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Solution

The fourth proportional to 3,357.32, 4,633.02 and 1,865.37 is: 2,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.32 : 4,633.02 = 1,865.37 : x
  2. Step 2: Convert to fraction form
    3,357.32/4,633.02 = 1,865.37/x
  3. Step 3: Cross multiply
    3,357.32x = 4,633.02 × 1,865.37
  4. Step 4: Simplify right side
    3,357.32x = 8,642,296.52
  5. Step 5: Solve for x
    x = 8,642,296.52/3,357.32
  6. Step 6: Final answer
    x = 2,574.16

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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.