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Finding the Fourth Proportional to 3,646.06, 5,471.74 and 1,455.41

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Solution

The fourth proportional to 3,646.06, 5,471.74 and 1,455.41 is: 2,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.06 : 5,471.74 = 1,455.41 : x
  2. Step 2: Convert to fraction form
    3,646.06/5,471.74 = 1,455.41/x
  3. Step 3: Cross multiply
    3,646.06x = 5,471.74 × 1,455.41
  4. Step 4: Simplify right side
    3,646.06x = 7,963,640.61
  5. Step 5: Solve for x
    x = 7,963,640.61/3,646.06
  6. Step 6: Final answer
    x = 2,184.18

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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.