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Finding the Fourth Proportional to 3,185.73, 4,756.47 and 2,988.90

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Solution

The fourth proportional to 3,185.73, 4,756.47 and 2,988.90 is: 4,462.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.73 : 4,756.47 = 2,988.90 : x
  2. Step 2: Convert to fraction form
    3,185.73/4,756.47 = 2,988.90/x
  3. Step 3: Cross multiply
    3,185.73x = 4,756.47 × 2,988.90
  4. Step 4: Simplify right side
    3,185.73x = 14,216,613.18
  5. Step 5: Solve for x
    x = 14,216,613.18/3,185.73
  6. Step 6: Final answer
    x = 4,462.59

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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.