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Finding the Fourth Proportional to 6,329.52, 9,484.02 and 3,856.84

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Solution

The fourth proportional to 6,329.52, 9,484.02 and 3,856.84 is: 5,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.52 : 9,484.02 = 3,856.84 : x
  2. Step 2: Convert to fraction form
    6,329.52/9,484.02 = 3,856.84/x
  3. Step 3: Cross multiply
    6,329.52x = 9,484.02 × 3,856.84
  4. Step 4: Simplify right side
    6,329.52x = 36,578,323.99
  5. Step 5: Solve for x
    x = 36,578,323.99/6,329.52
  6. Step 6: Final answer
    x = 5,779.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.