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Finding the Fourth Proportional to 3,646.86, 5,462.91 and 2,411.16

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Solution

The fourth proportional to 3,646.86, 5,462.91 and 2,411.16 is: 3,611.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.86 : 5,462.91 = 2,411.16 : x
  2. Step 2: Convert to fraction form
    3,646.86/5,462.91 = 2,411.16/x
  3. Step 3: Cross multiply
    3,646.86x = 5,462.91 × 2,411.16
  4. Step 4: Simplify right side
    3,646.86x = 13,171,950.08
  5. Step 5: Solve for x
    x = 13,171,950.08/3,646.86
  6. Step 6: Final answer
    x = 3,611.86

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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.