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Finding the Fourth Proportional to 3,564.46, 5,324.96 and 3,434.86

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Solution

The fourth proportional to 3,564.46, 5,324.96 and 3,434.86 is: 5,131.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.46 : 5,324.96 = 3,434.86 : x
  2. Step 2: Convert to fraction form
    3,564.46/5,324.96 = 3,434.86/x
  3. Step 3: Cross multiply
    3,564.46x = 5,324.96 × 3,434.86
  4. Step 4: Simplify right side
    3,564.46x = 18,290,492.11
  5. Step 5: Solve for x
    x = 18,290,492.11/3,564.46
  6. Step 6: Final answer
    x = 5,131.35

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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.