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Finding the Fourth Proportional to 3,646.54, 5,465.19 and 2,329.79

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Solution

The fourth proportional to 3,646.54, 5,465.19 and 2,329.79 is: 3,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.54 : 5,465.19 = 2,329.79 : x
  2. Step 2: Convert to fraction form
    3,646.54/5,465.19 = 2,329.79/x
  3. Step 3: Cross multiply
    3,646.54x = 5,465.19 × 2,329.79
  4. Step 4: Simplify right side
    3,646.54x = 12,732,726.42
  5. Step 5: Solve for x
    x = 12,732,726.42/3,646.54
  6. Step 6: Final answer
    x = 3,491.73

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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.