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Finding the Fourth Proportional to 3,615.72, 5,416.74 and 3,123.24

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Solution

The fourth proportional to 3,615.72, 5,416.74 and 3,123.24 is: 4,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,615.72 : 5,416.74 = 3,123.24 : x
  2. Step 2: Convert to fraction form
    3,615.72/5,416.74 = 3,123.24/x
  3. Step 3: Cross multiply
    3,615.72x = 5,416.74 × 3,123.24
  4. Step 4: Simplify right side
    3,615.72x = 16,917,779.04
  5. Step 5: Solve for x
    x = 16,917,779.04/3,615.72
  6. Step 6: Final answer
    x = 4,678.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.