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Finding the Fourth Proportional to 5,655.48, 8,476.24 and 4,100.82

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Solution

The fourth proportional to 5,655.48, 8,476.24 and 4,100.82 is: 6,146.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.48 : 8,476.24 = 4,100.82 : x
  2. Step 2: Convert to fraction form
    5,655.48/8,476.24 = 4,100.82/x
  3. Step 3: Cross multiply
    5,655.48x = 8,476.24 × 4,100.82
  4. Step 4: Simplify right side
    5,655.48x = 34,759,471.63
  5. Step 5: Solve for x
    x = 34,759,471.63/5,655.48
  6. Step 6: Final answer
    x = 6,146.16

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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.