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Finding the Fourth Proportional to 3,462.30, 4,779.05 and 3,285.99

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Solution

The fourth proportional to 3,462.30, 4,779.05 and 3,285.99 is: 4,535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.30 : 4,779.05 = 3,285.99 : x
  2. Step 2: Convert to fraction form
    3,462.30/4,779.05 = 3,285.99/x
  3. Step 3: Cross multiply
    3,462.30x = 4,779.05 × 3,285.99
  4. Step 4: Simplify right side
    3,462.30x = 15,703,894.08
  5. Step 5: Solve for x
    x = 15,703,894.08/3,462.30
  6. Step 6: Final answer
    x = 4,535.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.