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Finding the Fourth Proportional to 4,655.95, 6,423.39 and 2,665.44

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Solution

The fourth proportional to 4,655.95, 6,423.39 and 2,665.44 is: 3,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.95 : 6,423.39 = 2,665.44 : x
  2. Step 2: Convert to fraction form
    4,655.95/6,423.39 = 2,665.44/x
  3. Step 3: Cross multiply
    4,655.95x = 6,423.39 × 2,665.44
  4. Step 4: Simplify right side
    4,655.95x = 17,121,160.64
  5. Step 5: Solve for x
    x = 17,121,160.64/4,655.95
  6. Step 6: Final answer
    x = 3,677.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.