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Finding the Fourth Proportional to 4,615.76, 6,367.40 and 3,123.13

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Solution

The fourth proportional to 4,615.76, 6,367.40 and 3,123.13 is: 4,308.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.76 : 6,367.40 = 3,123.13 : x
  2. Step 2: Convert to fraction form
    4,615.76/6,367.40 = 3,123.13/x
  3. Step 3: Cross multiply
    4,615.76x = 6,367.40 × 3,123.13
  4. Step 4: Simplify right side
    4,615.76x = 19,886,217.96
  5. Step 5: Solve for x
    x = 19,886,217.96/4,615.76
  6. Step 6: Final answer
    x = 4,308.33

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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.