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Finding the Fourth Proportional to 3,564.98, 5,341.31 and 2,523.22

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Solution

The fourth proportional to 3,564.98, 5,341.31 and 2,523.22 is: 3,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564.98 : 5,341.31 = 2,523.22 : x
  2. Step 2: Convert to fraction form
    3,564.98/5,341.31 = 2,523.22/x
  3. Step 3: Cross multiply
    3,564.98x = 5,341.31 × 2,523.22
  4. Step 4: Simplify right side
    3,564.98x = 13,477,283.71
  5. Step 5: Solve for x
    x = 13,477,283.71/3,564.98
  6. Step 6: Final answer
    x = 3,780.47

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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.