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Finding the Fourth Proportional to 3,357.47, 4,633.37 and 1,865.53

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Solution

The fourth proportional to 3,357.47, 4,633.37 and 1,865.53 is: 2,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.47 : 4,633.37 = 1,865.53 : x
  2. Step 2: Convert to fraction form
    3,357.47/4,633.37 = 1,865.53/x
  3. Step 3: Cross multiply
    3,357.47x = 4,633.37 × 1,865.53
  4. Step 4: Simplify right side
    3,357.47x = 8,643,690.74
  5. Step 5: Solve for x
    x = 8,643,690.74/3,357.47
  6. Step 6: Final answer
    x = 2,574.47

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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.