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Finding the Fourth Proportional to 5,682.32, 7,841.66 and 3,324

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Solution

The fourth proportional to 5,682.32, 7,841.66 and 3,324 is: 4,587.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,682.32 : 7,841.66 = 3,324 : x
  2. Step 2: Convert to fraction form
    5,682.32/7,841.66 = 3,324/x
  3. Step 3: Cross multiply
    5,682.32x = 7,841.66 × 3,324
  4. Step 4: Simplify right side
    5,682.32x = 26,065,677.84
  5. Step 5: Solve for x
    x = 26,065,677.84/5,682.32
  6. Step 6: Final answer
    x = 4,587.15

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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.