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Finding the Fourth Proportional to 4,683.60, 6,462.98 and 2,890.58

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Solution

The fourth proportional to 4,683.60, 6,462.98 and 2,890.58 is: 3,988.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.60 : 6,462.98 = 2,890.58 : x
  2. Step 2: Convert to fraction form
    4,683.60/6,462.98 = 2,890.58/x
  3. Step 3: Cross multiply
    4,683.60x = 6,462.98 × 2,890.58
  4. Step 4: Simplify right side
    4,683.60x = 18,681,760.73
  5. Step 5: Solve for x
    x = 18,681,760.73/4,683.60
  6. Step 6: Final answer
    x = 3,988.76

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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.