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Finding the Fourth Proportional to 4,655.25, 6,424.52 and 2,666.43

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Solution

The fourth proportional to 4,655.25, 6,424.52 and 2,666.43 is: 3,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.25 : 6,424.52 = 2,666.43 : x
  2. Step 2: Convert to fraction form
    4,655.25/6,424.52 = 2,666.43/x
  3. Step 3: Cross multiply
    4,655.25x = 6,424.52 × 2,666.43
  4. Step 4: Simplify right side
    4,655.25x = 17,130,519.53
  5. Step 5: Solve for x
    x = 17,130,519.53/4,655.25
  6. Step 6: Final answer
    x = 3,679.83

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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.