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Finding the Fourth Proportional to 3,646.75, 5,032.45 and 2,053.39

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Solution

The fourth proportional to 3,646.75, 5,032.45 and 2,053.39 is: 2,833.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.75 : 5,032.45 = 2,053.39 : x
  2. Step 2: Convert to fraction form
    3,646.75/5,032.45 = 2,053.39/x
  3. Step 3: Cross multiply
    3,646.75x = 5,032.45 × 2,053.39
  4. Step 4: Simplify right side
    3,646.75x = 10,333,594.76
  5. Step 5: Solve for x
    x = 10,333,594.76/3,646.75
  6. Step 6: Final answer
    x = 2,833.64

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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.