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Finding the Fourth Proportional to 6,184, 8,533.92 and 3,389.68

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Solution

The fourth proportional to 6,184, 8,533.92 and 3,389.68 is: 4,677.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184 : 8,533.92 = 3,389.68 : x
  2. Step 2: Convert to fraction form
    6,184/8,533.92 = 3,389.68/x
  3. Step 3: Cross multiply
    6,184x = 8,533.92 × 3,389.68
  4. Step 4: Simplify right side
    6,184x = 28,927,257.95
  5. Step 5: Solve for x
    x = 28,927,257.95/6,184
  6. Step 6: Final answer
    x = 4,677.76

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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.