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Finding the Fourth Proportional to 4,476.96, 6,685.25 and 3,656.83

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Solution

The fourth proportional to 4,476.96, 6,685.25 and 3,656.83 is: 5,460.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.96 : 6,685.25 = 3,656.83 : x
  2. Step 2: Convert to fraction form
    4,476.96/6,685.25 = 3,656.83/x
  3. Step 3: Cross multiply
    4,476.96x = 6,685.25 × 3,656.83
  4. Step 4: Simplify right side
    4,476.96x = 24,446,822.76
  5. Step 5: Solve for x
    x = 24,446,822.76/4,476.96
  6. Step 6: Final answer
    x = 5,460.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.