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Finding the Fourth Proportional to 3,324, 4,587.12 and 2,083.68

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Solution

The fourth proportional to 3,324, 4,587.12 and 2,083.68 is: 2,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,324 : 4,587.12 = 2,083.68 : x
  2. Step 2: Convert to fraction form
    3,324/4,587.12 = 2,083.68/x
  3. Step 3: Cross multiply
    3,324x = 4,587.12 × 2,083.68
  4. Step 4: Simplify right side
    3,324x = 9,558,090.20
  5. Step 5: Solve for x
    x = 9,558,090.20/3,324
  6. Step 6: Final answer
    x = 2,875.48

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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.