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Finding the Fourth Proportional to 3,485.66, 5,222.21 and 3,411.86

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Solution

The fourth proportional to 3,485.66, 5,222.21 and 3,411.86 is: 5,111.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.66 : 5,222.21 = 3,411.86 : x
  2. Step 2: Convert to fraction form
    3,485.66/5,222.21 = 3,411.86/x
  3. Step 3: Cross multiply
    3,485.66x = 5,222.21 × 3,411.86
  4. Step 4: Simplify right side
    3,485.66x = 17,817,406.24
  5. Step 5: Solve for x
    x = 17,817,406.24/3,485.66
  6. Step 6: Final answer
    x = 5,111.64

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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.