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Finding the Fourth Proportional to 3,646.48, 5,471.08 and 2,186.68

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Solution

The fourth proportional to 3,646.48, 5,471.08 and 2,186.68 is: 3,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.48 : 5,471.08 = 2,186.68 : x
  2. Step 2: Convert to fraction form
    3,646.48/5,471.08 = 2,186.68/x
  3. Step 3: Cross multiply
    3,646.48x = 5,471.08 × 2,186.68
  4. Step 4: Simplify right side
    3,646.48x = 11,963,501.21
  5. Step 5: Solve for x
    x = 11,963,501.21/3,646.48
  6. Step 6: Final answer
    x = 3,280.84

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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.