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Finding the Fourth Proportional to 3,564.96, 5,341.29 and 2,523.24

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Solution

The fourth proportional to 3,564.96, 5,341.29 and 2,523.24 is: 3,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.96 : 5,341.29 = 2,523.24 : x
  2. Step 2: Convert to fraction form
    3,564.96/5,341.29 = 2,523.24/x
  3. Step 3: Cross multiply
    3,564.96x = 5,341.29 × 2,523.24
  4. Step 4: Simplify right side
    3,564.96x = 13,477,356.58
  5. Step 5: Solve for x
    x = 13,477,356.58/3,564.96
  6. Step 6: Final answer
    x = 3,780.51

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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.