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Finding the Fourth Proportional to 3,654.30, 5,478.75 and 3,035.46

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Solution

The fourth proportional to 3,654.30, 5,478.75 and 3,035.46 is: 4,550.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.30 : 5,478.75 = 3,035.46 : x
  2. Step 2: Convert to fraction form
    3,654.30/5,478.75 = 3,035.46/x
  3. Step 3: Cross multiply
    3,654.30x = 5,478.75 × 3,035.46
  4. Step 4: Simplify right side
    3,654.30x = 16,630,526.48
  5. Step 5: Solve for x
    x = 16,630,526.48/3,654.30
  6. Step 6: Final answer
    x = 4,550.95

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